Hyrdrofoils leave Sorrento and Naples for Capri regularly. It’s an expensive place, full of tourists in the peak season, but makes for a nice day trip. The views from the top of the mountain are wonderful.
If you want some exercise to work up an appetite first, you can walk up the mountain. It took me about two hours to walk from the marina to the top. Just my luck, the sea mist rolled just as I got there, but the view on the other side was fantastic. There are limo taxis and a chair lift for the less energetic.
Ristorante La Capannina (A+), 14 Via Le Botteghe
As this is perhaps the best restaurant in Capri it’s not a place to go if you are mindful of your budget, but hey once in a while it has to be done.
I spent €50 (2008 prices!) but for the money I got an excellent Zuppa di Frutta di Mare (a big bowl of mussels and clams ‘marniere’, €18), wonderful Ravioli alla Caprese (€12) and a great bottle of Fiano (local white, €15) as well as all the usual bits and bobs.
The English-speaking waiter was very friendly and helpful.