I'm assuming the GP light is operating correctly (comes on when you turn the key on, then goes off after some amount of time, then you start the engine and away you go).
It depends on where the GP relay physically is, and what kind/brand of relay it is, as to whether you can hear it or not.
If you are worried that it's not working correctly, you could put a voltmeter on one of the GP's, then turn on the key, to check that it gets power while the GP light is on.