How can I remotely monitor a GFCI receptacle?
There are GFCI outlets that have indicator LEDs on them, like this one:



If you put this in the living space, then connect the sump receptacle (a normal, non-GFCI receptacle) to the "load" side of this outlet, it will also be protected. If it trips, the light will be out and you'll know it.

To make it more obvious, you could plug a nightlight into this outlet. 

Even better, plug in an "emergency rechargeable flashlight": the kind that plug into the wall, but turn on automatically when you unplug them or the power goes out.



This would more readily draw attention: if the light is on, there is a problem.