I know this was back in April, but no one commented on the occurrence...
Fuel pumps pull enough current to warrant a power relay (rather than being transistor driven). The noise you heard, after which the pump started running, was most likely the relay for the pump, and the fact that you are hearing it is a sign that it needs to be replaced. Relays can sing, whine, repeatedly click, etc. when they are on their way out. So can transistors.
When integrated into modules, there could also be an issue of a cracked solder joint at the relay. First thing I always do when I suspect a bad relay in a module is wet the joints, even if they look good. Cold welds can be difficult to spot sometimes.
I don't know anything about the hummer's fuel pump. Some vehicles have multiple speed pumps, basically two sets of windings inside the motor. Do not drive both windings simultaneously if it does, the motor will burn out.
One the plus side of things, you've got a harder to steal than normal hummer if the switch is well hidden.