PCSD. Welcome to the barn. A bit more info may help in solving your problem. Do you in fact have a "fuel bowel" on your fuel pump? Over the years, parts get changed and one of them is fuel pumps, that may or may not have the glass bowel. If you have the glass bowel, it is a good place to start troubleshooting, as mentioned by Jay and Joel. You can disconnect the pump to carb line, then, with the ignition off, put you thumb over the outlet of the pump and have someone hit the starter. You should feel a bit of pulsing pressure as the pump is cycled. If not, there is a problem with the pump diaphragm, valves or pushrod. If there is pressure then there must be air entering at the bowel or fuel line connections.
If you need the pump or carb serviced, contact Charlie NY. 716-662-9159