Verona's the city of Romeo and Juliet, and after a hard day's touristing I came to the conclusion that in Verona it's a bit like Valentine's Day all year round. It's almost impossible to avoid all the references to the couple in the city...
I still don't know how I did it, but the first time I went to Juliet's house I walked straight passed it! It's on an ordinary-looking street in the town centre (Via Cappello), and the easiest way to spot it is the writing on the walls on the street outside the house.
The house has been turned into a museum, housing paintings depicting the couple as well as artifacts from the various films based on their story. Entrance costs 6 euro.
Arriving in Verona city centre probably the first thing that you'll see is the Arena. It's in the centre of Piazza Brà, and many opera performances and concerts are held there. It's an impressive structure built in 30 AD and has been preserved extremely well.
Head to the Torre dei Lamberti, just off Piazza delle Erbe, if you want to see a view of Verona from above. You can get to the top of the tower either by lift or by stairs.
As well as the Arena, on the other side of the river there's the Teatro Romano and museum. The teatro is also used to hold concerts.
If you're going to be in Verona for longer than just a day and plan on doing a lot of sightseeing it's worth buying the Verona card. It costs 15 euro and is valid for 2 days, and gives you entrance to the sights I've named above, as well as churches and other museums in the city.
You can get to Verona Porta Nuova from Milano Centrale either on the Frecciabianca or the Regionale trains. A full price single ticket on the Frecciabianca costs 20.50 euro, but there are discounts available if you book in advance. The journey takes 1 hour and 22 minutes. A one way second class ticket for the Regionale costs 11.30 euro and it takes 1 hour and 55 minutes to get to Verona.
Oh, and here's a little tip: if you're arriving by train at Verona Porta Nuova (the main train station) and don't fancy the walk to the city centre, the no. 90, 92, 93, 96, 97, or 98 will get you to Piazza Brà, where the Arena is. Tickets can be bought in the tabaccheria in the train station and cost a euro each.