Can I add a standard receptacle on a GFCI circuit
You should never chain two GFCI circuits together.  When you install a GFCI circuit, you should only ever chain standard outlets off of them.  Multiple GFCI on the same circuit can cause each other to trip.

So yes, what you want to do is actually what you should do.

What you do need to do, however, is make sure you connect the new outlet to the LOAD terminals on the GFCI outlet.  That will put the new outlet on GFCI protection.

You should also sticker the new outlets as GFCI protected.



See in the above how the duplex (standard) outlet is fed from the GFCI, NOT the main line.

And in case it's unclear- the 3 gfci in the pic are not chained - they are connected in parallel.  Only the standard outlet is "chained" - or connected in serial.