Do you have a check engine light on?
The early fuel injection systems by GM can be checked for codes without tools..by jumping across the diagnostic connector{A and B}..you the count the flashes for the code and then look it up.
The gm fuel injection system is pretty worthy of running with a bad sensor as default values are chosen by the computer//how ever the exception to this is the manifold air pressure sensor or mass air flow sensor..dependent upon which you have...Your drivabilty will suffer however with a bad sensor in that area ..as it is the hardest one for the computer to fake with a default value that is appropriate for most driving conditions
I would get some 89 octane fuel with 10 percent alcohol{they sell it everywhere}...The alcohol will help suspend the water in the event you have any in the tank.....water sinks to the bottom of the tank and can cause a stall when stopping etc as the water can rush beneath the pickup.causing a stall a few seconds later.
In the event you are still having problem....the next step is to drive the vehicle with the diagnostic jumper in place.......the light will now change in accordance with how fuel you are using{in theory} it is basically just a measure of injection open time} so if you were starved for fuel the light wouldnt be realistic.
However it can tell if the car suddenly went lean due to the injectors not having the proper open time...also if you suddenly went rich for reasons unknown.
Even with bad sensors etc the car will almost always pull off an idle ok as the idle air control valve will move in and out as needed to keep the speed where it needs be to stay running...therefore your problem is cause by a sudden change in fuel delivery or a sensor that is failing but has not yet failed.
Some failing sensors can be as follows...A worn throttle position sensor can briefly flood an engine...The voltage changes with the position of the throttle..a failing sensor with have voltage spikes with movements ans interpret it rapid throttle movements...The sign for this is when starting the engine back up its a little rough for a couple to few seconds until it cleans the excess fuel out.
A manifold air pressure sensor...usually dont go bad..but the vacuum hose to it does.......it will suck itself shut...then a false reading is read by the computer...less vacuum is read than there actually is...the symptom of this would be a happy engine at speed,but will start running rich as soon as you stop.......it will get rich enough to start to run poor enough to lower vacuum..the hose will then open back up..the engine will straighten out....it will begin a cycle of this....this happens more with a warm engine as the hose is not as stiff.
A failed temperature sensor will default to a value a little less than a fully warmed engine...it will run fine after warm,,but will be hard to start a cool engine and will suffer hesitations upon acceleration until the engine is warmed.
A failing temp sensor can cause a flood at speed or idle conditions,,however the computer almost always catches it and goes to default value...so its rare.....the same hold true for air temps related to manifold temps.
A failing fuel pump on a gm can show up in many ways from sudden failure{not usually the case}.usually a warning sign. The fuel pump pumps more fuel than is needed and it returned to the tank...the extra fuel pumping is what cools the pump..when the wear of the pump is bad enough there is no extra pressure to have the flow through the return causing extra pump heat and wear....the pump has a very short time remaing in these cases..
A cold pump has less resistance and will have a little more power..so you can have a vehicles that acts up after warmed,with a failing pump.
The voltage to the pump is higher when the engine is running with a healthy alternator....a weak alternator can show a weak pump as it now has a a little more less than a volt going to it.......it dont sound like much a single volt...but the problem compounds itself...lower voltage equals less pumping for cooling,,causing more heat,,creating more resistance electrically thus slowing the pump causing less cooling.{sounds the tax domino effect hey}
Some of these pumps actually carbon track from the positive side wire of the pump down to the pump and much electricity is used by this wire,,thus the voltage drop causes a slow pump...this is a common intermediate problem.just think of it the same as a spark plug wire shooting spark to the engine by leakage through the sparkplug wire....sometimes it does sometimes it dont.
A high mileage gm product will have a pump failure,,the rest of the system is pretty reliable and has an excellent default value setup for failed components{sensors} offering good driveabilty..the exception is the Mass air flow sensor or the manifold air pressure sensor..you will either have one or the other.
Back to the pump and the tank......again water is always possible..water pools together it attracts itself..so in effect you dont have a thin laver at the bottom but rather pools of water with a few large pools and several small ones..these pools can get rushed under the pickup from starts stops and corners.
Junk in the tank.......what can happen is junk can get sucked up to the screen..the engine dies...the fuel pump stops..the junk releases from the screen the car starts back up.......the usual symptoms of this are the longer the car runs it is more apt to have the fuel starvation problem.
Gm tanks are decent as compared to decades ago and its not a major problem...however there have been tanks in your era that suffered like the early tanks.
If you do decide to take down the tank...replace the pump....it is a failure item on a gm.
A few common tools...and a few chosen cuss words{for the hoses not having extra length to make the job easier} and you can do the pump in 2 to 4 hours....45 minutes if you are good.
Without actually having access to your car to be able to check your fuel system...you are describing a failing fuel pump...unless the conditions I have described to various failing sensors apply..you are looking at a fuel pump more than likely...In the event its not the pump... if it is a high mileage car made by gm in your era it is going to fail...you can just call it preventative maintenance.