360 4bbl

Since you said it did it after you filled it up, I would suspect junk in the tank.

How long did the car sit? If it has garbage in the tank, it could be plugging the sock on the sending unit.

IF the car has been sitting, I would drop the tank and clean it real well, if it's real bad you may need to replace it. Blow out the fuel supply line up to the front in both directions, check the rubber hoses, they could be band and collapsing. Replace fuel filter, and lastly possible carb rebuild.

Now, having said all that you really need to determine if the fuel is the cause, before going to such lengths.

There are other possibilities, if it randomly shuts down with no kind of predictability. If it keeps doing it, kinda keep track of when it's shutting down, sometimes a bad coil or a bad pick up in the distributor can shut you down randomly.

You might drive 100 miles and shut down, it will restart and you might drive 20 miles and it will shut down.