In my apartment bathroom there is a GFCI receptacle with 2 switches on the wall directly to the right when walking in. There is also a receptacle right by the sink. Does the receptacle by the sink need to be GFCI protected or is it protected by the GFCI receptacle closer to the entry of the bathroom?
It does need to be protected there by the sink. It may very well be wired into the LOAD terminals of the other GFCI outlet. It is easy for you to check. Plug a lamp in by the sink and turn it ON. Then press the TEST button on the GFCI outlet. If the lamp goes OFF you know that the outlets are coupled.