Am on a long weekend in Florence as I post this.
Staying at the Hotel Delgi Orafi with a private patio on the 4th floor overlooking the Arno and the Ponte Vecchio; lazying watching the world go by. It's The Room With A View as featured in the movie.
Florence is all museums so pick a couple wisely. Don't try to see all pictures in each gallery. Get a guide book, decide which artwork you want to see and play "treasure hunt". It's more fun. Otherwise hire a private guide so you can get the full educational experience. There is too much to see here and it is hard for anyone to know what you are interested in.
There are also Segways tours, horse carriage rides, loads of gelato shops to choose from, cooking experience, chocolate factory tours, boating in the river in town and a few designer outlet malls for shopping outside town.
It's all about your interests.