On the Capitoline Hill is Piazza del Campidoglio, a small but beautifully formed square laid out to a design by Michelangelo. As well as providing some spectacular views over the ciy, the piazza is home to the Capitoline Museums.
Things to See
Along with the Capitoline Museums, the piazza itself is worth a stop, perfect for people-watching since its many Romans get married here, in the Palazzo dei Conservatori. (They post the banns—bandi—on signs in the arcades.)
The piazza was designed to face the Vatican, and so offers a superb view to the west of the city, while from the opposite side you can look down over the Forums, and access the church of Santa Maria in Ara Coeli. The centrepiece is an equestrian statue of Marcus Aurelius (actually a replica of the original, which you'll find in the museums).
If you're in need of a snack, there's also a cafe easily accessible from the piazza. It's housed in the museums structure (on the right as you enter the piazza from the staircase), but you can go there without buying a ticket to the museums themselves.
Visiting the Piazza del Campidoglio
The Piazza del Campidoglio crowns the Capitoline Hill, right in the centre of Rome. The nearest metro stations are Cavour and Colosseo on Linea B.