I was in Florence last June with some friends and one of them is an early riser. He is out by 7am for a walk and coffee. I decided to accompany him one morning and it turned out to be one of the best experiences of my time in Florence and my entire trip.
We were fortunate to have an airbnb about 100 yards from the Ponte Vecchio, so we stopped at a cafe nearby. When we turned the corner to the Ponte Vecchio we were stunned - there was no one on the entire bridge. Contrast this to the day before at around 1pm when the bridge was crowded. We walked halfway across and took a photo. One lone jogger and a bicyclist were our only company. We continued on to the Piazza della Signoria and strolled though. A couple of Carabinieri in full dress uniform strolled by but still only one or two others in the entire Piazza. We passed the David and went though the gallery of the Uffizi and back to the Arno. We continued back across the Ponte Vecchio and still found very few people, only shop owners getting ready for the day and a few joggers.
I had a similar experience in Barcelona years ago when I found myself arriving in the city at dawn. It was fascinating to see the city awakening and stretching its arms for the day. I highly recommend getting an early start one day in your trip. It will be a memorable experience.