- Visit the Cathedral of Santa Maria del Fiore (aka the Duomo). Highly recommend also including Giotto's Bell Tower

- Walk the Ponte Vecchio bridge

- Watch the sunset at Piazzale Michelangelo

- See the Statue of David at the Galleria dell' Accademia

- Spend time in the Uffizi Gallery

- Take a day trip to Pisa or Cinque Terre. Both easy to get to by train

- Explore the Tuscan countryside and do a wine tasting