The first item on your Milan itinerary should be St. Mary's Birth Cathedral - one of the biggest Gothic temples in the world. It is hard not to notice it, chiefly because of nearly 2,000 sculptures adorning its facade.
Opera La Scala is one of Italy's, and Europe's, most famous opera scenes. The first performance was staged there in 1778 and many Italian operatic masterpieces were dedicated to this particular scene.
The most recognizable gallery in Milan is Pinacoteca di Brera, where you will see a magnificent collection of Italian art masterpieces.
Milan is also the place where Leonardo da Vinci's fresco The Last Supper adorns the refectory of Santa Maria delle Grazie basilica. Definitely worth seeing.
Another noteworthy historic site is Sforza Castle, erected in 1368 - a gloomy Medieval fortress and one of the most wonderful renaissance residences at the same time.
Soccer is also what made Milan famous. Widely recognizable San Siro stadium on Angelo Moratti Square, home to legendary AC and Inter Milan, is also worth your while. It can seat up to 85,000 spectators.
You may also want to go for a walk around the huge and publicly available dome of Duomo Cathedral, as well as admire the city panorama from the rooftop of Pirelli Tower.
Another interesting place to see while in Milan is also Stazione Centrale, or Central Station, and its platforms. It is noteworthy that it is the biggest train station in all of Italy.
The Naviglio district is where Milan's artistic Bohemia hangs out. You will find there art galleries, little cafes, and pubs housed in picturesque tenements sitting on a former canal leading to the city's Mediterranean port.
A ride in an ATMosfera tram, which doubles as a restaurant, is also a pleasurable experience.