Corso Lodi (main shopping street) is 5 minutes walking away. Metro is Brenta (Yellow line). 5 bus lines pass close. About Supermarkets I suggest a big Carrefour open 24/7. The "cammino dei monaci" bycicle route heads south to Chiaravalle Monastery and 3 main parks.
Duomo (the heart of the city) is less than 25 minutes away by metro, 40 on foot.
Swimming pool is around the corner, as are dozens of restaurants (Japanese, Brazilian, Indian, Turkish, Sicilian, Chinese) 3 gyms and many pizzerias.