The location is as described, right at the Signoria Square itself! It's super convenient, just a few minutes walk from Uffizi Gallery, Ponte Vecchio, the Duomo, and many amazing restaurants and little shops. Almost every night there was also a public performance at the square (orchestras, fashion shows), so there's always something to see. The photos of the apartment are accurate.
The only thing is that the apartment building itself is very old, so there were some issues with power. Unfortunately one of the days of our stay, there was a huge fashion show going on in the square (lights, speakers, etc), which killed the power from half the apartments in the building. We are very grateful to Marialaura who came down to the apartment a few times to sort these issues out!