I’ve spoken about the sunset and city skyline views from Piazzale Michelangelo before, but for truly spectacular views of Florence visit Giardino Bardini. This garden was opened to the public in 2005 after intensive restoration. The garden dates back to 1259, beginning as an orchard located right outside the city gates. As time went on, so did the garden and its changing landscape style – Medieval, Renaissance, and Victorian while owned by Carolath Benten.
To get into the garden you must enter the museum lobby. You can choose a museum/garden combo ticket or just one ticket for either museum or garden. Even in the middle of winter we experienced beautiful views. For some spring views check out this article from Visitflorence.com
The garden is situated on the Oltrarno and overlooks the city. My favorite view is the one with the statues on the Belvedere terrace.