You can easily cover every Florence neighborhood and more famous sights by foot, the bus to Fiesole or Piazzale Michelangelo is directly near the Villa.
Restaurants, famous butcher, gorgeous greengrocer, bakery store, all of them in a few steps away from the villa. A big supermarket just one block away.
Not too far away from us about 35 minutes drive if you are interested in shopping there is the Fashion Valley, famous outlet offering all the Italian brands that you might dream of.