What to do in Kamakura?

I will be in Kamakura for one week in March and would be grateful for any suggestions / itinerary on what to see / explore / eat. I am visiting Kamakura for the first time.

Thank you very much for your help :-)

Read the "Kamakura" section.

Try the Kamakura page on this website to start.

There's a few hiking trails and lots of temples to explore by bike. Enoshima is close by, as is Tokyo. I believe there's a famous confectionery shop in the main street, but I can't remember the name or where I read that!

You can use a morning to visit Taya caverns in Ofuna.

http://es.japantravel.com/kanagawa/taya-cavern-shingon-historic-site/2...

Well, one week might be way more than enough to see the whole place, but the suggestions so far are quite good - see Enoshima, plus there is the beach, the hiking, and numerous historical temples.
You also might branch out to see Izu, Tanzawa-Oyama area, and Hakone. Yokohama has its sights too. Look into some regional passes.
http://www.odakyu.jp/english/deels/

I also recommend going to Enoshima while youfre there since itfs right next door and also interesting. I know many people are going to tell you one week is a bit much, but Ifm sure youfll find plenty to do. Many people go to Kamakura more than once, especially if they live in Tokyo or go to Japan often.
This map was the most useful -sightseeing wise- that I used on my trip there: http://horizons.free.fr/seikatsu/documents/maps/jp-kamakura_map_2007.j... and others have already said to check out the Kamakura travel section on here.
You might want to read a few trip reports and just google eto do Kamakuraf for many peoplefs suggestions (although they tend to repeat themselves after a while). I also recommend the hiking trails. I didnft really have the time, but I wouldfve loved to walk to Hokokuji instead of taking the bus since by what Ifve read it seems like one of the most beautiful trails.
Herefs my trip report if youfre interested: https://tokyoanecdote.wordpress.com/2016/02/27/daibutsu-hiking-trail-k...

In Kamakura don't miss Zeni Arai Benten (shrine).