I stayed at the flat for 10 days in early June 2012 and it was in a great location. It was away from all the buzz of tourists but it was easy to walk to all of the sites when I wanted to. Plenty of space and nice to have the fresh air from the garden terrace. Wi-Fi was great.
Only 2 blocks from Piazaa S. Spirito which was busy every night. Pitti Palace and Boboli gardens were very close and a long walk to Piazza Michelangelo was worth it for the view.

Places to eat in the area: Gusta Pizza and Pitti Gola e Cantina; Gelato: Grom!

Only drawback I really had was hearing the neighbors and their TV at night if I went to sleep early-ish but, it's an apartment so it's kind of to be expected.
Also a little bit of a walk to and from the train station as it says on the map but it is a straight shot.