In a 10 minute drive you will reach Poggio Imperiale, where you will see Villa di Poggio Imperiale, that dates back to Medici times and lies on the Arcetri hills. You are then only a few minutes from the centre of Florence where you can visit the cathedral and baptistry, Ponte Vecchio, Piazza della Signoria, the Uffizi Gallery and the beautiful Chiesa di Piazza Santa Croce.
You can stroll down the little roads of the old town centre in search of craft and antique book shops that really make Florence special and then stop in one of the region's best restaurants for a T-bone steak.