It may be advertised as a private room, it's basically a private apartment just with no kitchen. This is a great apartment, with very nice view from the balcony. The hosts were good with communication and very helpful explaining how the busses worked and answering any questions we had. Everything was nice and clean on our arrival, and checking in was very easy. There is no kitchen, as said, so you may want to eat out during your stay.
But all in all a great little place to stay for visiting Florence, would very much recommend.