The car in question is a 1993 Buick Skylark Gran Sport with 3.3L engine. The car had sat in my friend'* garage since 2006 when it overheated due to a cracked radiator. It was parked with nearly a full tank of fuel.

I have dropped the fuel tank, cleaned it out, and replaced the fuel pump motor in the tank. I can now hear the pump run for a couple of seconds when I turn the ignition key. However, when I disconnect the incoming fuel line in the engine compartment, I can tell there is no pressure on the line. Just a small amount of fuel (less than a teaspoon) trickles out.

The engine will start on starter fluid but dies as soon as the ether is consumed.

Since the pump seems to be running, I am at a loss at to why there seems to be no fuel pressure in the fuel rail. Please offer your suggestions as to what I should look at next.

I forgot to mention that I also replaced the fuel filter when I replaced the fuel pump.

I forgot to mention that I also replaced the fuel filter when I replaced the fuel pump. I also checked all the fuses.

Do you have the correct pump? I believe you may have the pump used for the TB injector which tops out at 15 pounds. Your CFI needs 60

I cannot say for sure. I matched the part number of the pump motor to the number on the GM Genuine Parts site for this car. And the the new pump motor is identical to what I removed. I am not even getting 15 psi though.
Another thing I forgot to mention... I attempted to run the fuel pump with the red wire that comes out of the wiring harness near the driver side strut tower. Although it arcs when I connect a wire from the + battery terminal to the spade connector, the fuel pump does not run when I connect it to the battery. But the pump does turn on for 2 seconds when I turn the ignition key.

If that pump runs and does not get pressure you have a problem with the pump or line restriction. Here'* the diagrams for your 3.3L.

Thank you so much for the diagrams. I found a yt video last night in which a mechanic was having a similar issue. The problem was a burned connector at the fusible link that occurred due to corrosion. I'll use these diagrams to check everything and report back.

Does this generate at least 5 pounds of oil pressure when starting? If not that may be why it kills the fuel pump.

Thanks for the tip. I don't think I have a tool to check actual oil pressure when starting, but the oil light comes on when the key is turned to on, and turns off after a few seconds of cranking.

Just to eliminate a possibility, but are you sure you didn't disconnect the return fuel line by mistake in your original post?