i guess I'm dumb as a rock, because I still don't know how they are different or what I need to do differently despite everyone's attempts to answer my Q
If the approach has the three letters G P S in it somewhere and I have an approach-cert'd GPS unit I somehow figure I can do it.
Careful. Some of my best friends are rocks. Next time, do a little more research.
Seriously, you have the answer. In the case of both GPS and RNAV, you must first determine if your approach approved nav unit has the approach in it's database. In the case of the GPS approach, you must have GPS. This includes ensuring that you have adequate signal at the time, that you have it available, that your sensor is working. If you're using other types of area nav, you can't fly the GPS approach if you don't have GPS.
The RNAV approach, which encompasses all forms of RNAV that meet the RNP requirement, may also be flown by the GPS, so long as it meets the specified RNP requireent for the approach...so that would be step three...determining that your unit is certified to mee the required RNP capability requirement of the approach proceedure to be used (if specified). It may, or may not. You'll also need to make a RAIM determination to ensure that your unit can receive adequate signal at the arrival time and hold approach mode during the arrival.
You also need to ensure that your unit sequences to the necessary RNP selectivity during the approach. Some units do it automatically, some elementary ones and early ones do not.
Jedi Nein should reply to this thread, as she's written something like twenty or more books, brochures, pamphlets, and guides on the subject, many specific to each unit that's out there to be found. (Worth picking up if you own that unit or fly it, or are thinking of flying it).
As far as the operational requirement of flying them, it remains the same. You either show the waypoint as flyover or flyby, the latter enabling an early turn, and you fly according to the minimums listed on the proceedural chart. The real difference is in the equipment required to fly either one. Some proceedures may exclude certain sensors or types of RNAV...for example, a proceedure may be RNAV, but specifically disallow DME/DME. You must have available whatever the specific proceedure requires.
Eventually you'll be seeing all proceedures labled RNAV, as it's a rare thing any more to see any kind of RNAV unit that doesn't include GPS.