3 wire receptacles in a 2 wire system
You wouldn't install a GFCI receptacle in each receptacle location, you'd install a single GFCI device at the "beginning" of the circuit. This GFCI device could even be a GFCI breaker, or a GFCI device that doesn't have receptacles on it.

If you have split receptacles now (top always hot, bottom switched), you won't be able to simply replace them with a GFCI receptacle.  GFCI receptacles do not allow you to split the receptacles, so they will not work in your situation.