There are no "good tours" there unless you want to pre-arrange one of the local tours for yourself. Tours are not really needed there, so I'd suggest picking up a copy of the Italy 2015 guidebook and planning your own sightseeing for that area. You'll have lots of restaurants to choose from in Monterosso. Post another note if you want some recommendations. The hotel staff will be able to provide information on the beaches there, as some parts are pay and some are free. There are beaches both in the new town and old town.
As I recall, Villa Adriana puts on a good buffet breakfast so you'll be able to fill up before you head out touring.