The good thing about Milan is that most of the things to see are very close to each other, all in an area of around 1 km from the centre of Milan.

1) Starting from the centre, the first thing to visit is the famous Duomo, said to be the 4th largest cathedral in Europe. . You can also climb on top of it and have a great sight of the whole city from the above.

2) From the Duomo square, heading NW you will go to piazza Mercanti, with its famous Loggia, and then to piazza Cordusio, which has 2 interesting buildings, the Post office and the Unicredit buildings, all built in the 19th century. Then walking along via Dante you will reach Largo Cairoli and then a bit further Piazza Castello and the famous Castello Sforzesco, a real large castle, which was rebuilt after WW2 and is the original castle where the rulers of Milan used to live in the renaissance period.

3) Behind the Castello Sforzesco is the Parco Sempione

4)In the Parco Sempione there is the Museo della Triennale, a famous design museum featuring many famous design pieces that were invented in Milan.

5) If from Largo Cairoli you turn right into Foro Buonaparte, you will then head towards Brera, arguably the most charming of Milan's districts, with a number of nice shops, bars and restaurants. Places to see include Piazza del Carmine, via Fiori Chiari, and  the Pinacoteca di Brera, which hosts a huge number of famous paintings from the 14th century onwards, including Caravaggios and many others.

6) From Pinacoteca di Brera, walkalong via Brera and via Verdi to reach Piazza della Scala, where the famous opera house is.

7) From Piazza Scala you will see a big building with a gallery, that's the Galleria Vittorio Emanuele, built in the 19th century and something to see, with its famous coffee bars and restaurants and its glass ceiling. At the end of Galleria Vittorio Emanuele you will be again in Piazza Duomo.

8) If you are not tired yet,  from the Duomo you can walk again to Piazza Cordusio, and then make a left on Via Meravigli, at the end of which you will find the famous Pasticceria Marchesi, which is said to make the best Panettone in  Milan!  Past Marchesi, walk along Corso Magenta and at one point you will reach Santa Maria delle Grazie, a very nice church. Leonardo da Vinci's Last Supper can be viewed in a church annex (the Oratorio). You have to book tickets ahead or you won't be able to see it, unless you contact one of the tour operators that can pop you on a half-day tour sometimes at the last minute.

9) Walk along Corso Magenta, you will arrive in Piazzale Baracca, cross this square to end up on Corso Vercelli, a street with a number of nice shops where Milanese do their shopping (while the shops in via Montenapoleone and via Spiga are mainly for rich tourists).