1979 Chevy Caprice fuel

Remove the fuel line at the carb, attach to fuel pressure guage and turn the ignition to the "on" position. For the purpose of confirming the function of the elec fuel pump this can be done without a pressure guage but must be done very carefully.
Remove the fuel line at the carb, place a plastic bottle or jar over the end of the line and have someone turn the ignition on to see if fuel is actually being delivered to the carb. Caution: the fuel pump may be working! This will pump raw gas on to the top of your engine if not done carefully and therefore is not recommended.

If no fuel is present, recheck the electrical supply to the pump and confirm that the pump is actually running.

Of course, if you don't have an electric fuel pump the original question "How do I check to see if the electric fuel pump and fuel regulator are working properly?" Wouldn't have been necessary to begin with. Oh, and by the way, you'll have a hard time doing much of anything with it if you remove the battery.