There is no secondary fuel pump.
The fuel pump on your 1988 Chevy Celebrity is in the fuel tank.
The fuel pump is in the fuel tank.
In the fuel tank
Chevy didn't make a 1981 Celebrity
On all models of Chevrolet Celebrity with fuel injection the fuel pump is inside the fuel tank.
The electric fuel pump is in the gas tank.
Drop the fuel tank.
you need to drop the gas tank down and remove fuel pump from tank.
The fuel pump location depends on the engine in your car. If it is fuel injected the pump is in the fuel tank. If it is the carburetted V6 the fuel pump is on the bottom of the block on the right side of the engine.
Probably a stuck relay.
The fuel pump surging at first could be caused by the fuel pressure bleeding off and the pump has to build the pressure up.
It is behind a cover on the driver side strut tower.