I lived here for 3 months while working in Milan and I was absolutely glad I found this apartment. It's a very bright, friendly place that has been furnished with much love. It has a small, but very modern and well-stocked kitchen and a modern bathroom with a great shower. Everything is quite new and it was extraordinarily clean. There is also airconditioning, so it never feels too hot or cold there. The whole building is very old and beautiful, with a big patio in the centre. The apartment is located in the back, so there is no noise from the street. The building is also quite safe, since there is a porter during the day and a big front gate that is closed at night, so only residents can enter the compound.
Locationwise, it is also great, since it is in walking distance of the duomo, the galleria, the castello and the whole beautiful city center of Milan but also really close to the Colonne - full of bars, restaurants and student life - and just a few minutes away from the Navigli.
Finally, Francesco is a great host, really friendly and accommodating and will help you with anything you need.
Long story short: you should book this place :)