Don’t listen to the naysayers, Athens is the cradle of western civilization and a place everyone should visit if they can. (Except for some of the philistines in this thread).
My rec:
The acropolis and museum on the full day, Plaka with dinner that night. As advised above, you MUST get your tickets for Acropolis in advance.
Back to Plaka for shopping next day if you liked it the night before, see the other ruins that are right there, and the beautiful churches.
I like the restaurant Ithaca right by the big church in the Plaka. Looks touristy but actually is. Best moussaka I ever had.
Find a place with a long line for the gyros, sit outside and eat it and wash it down with a Vergina beer. Squeeze the lemon on your fries.
Go into the hotel grand Bretagne and go to the rooftop and have a drink with the best view of the acropolis. Stay there if you can, great hotel.
Changing of the guard I don’t love as much as others but it is right by the Bretagne.
Make sure you leave time for just relaxing in addition to seeing the sights.
Have fun and know many of us are jealous you are there!