near Hotel Giardinetto you can find Ristorante Giardinetto. Same name but different owners.
Yes there is many restaurants around this place, all in walking distance. The location of this hotel is very good not only for eating but for moving around cos the boats are all in walking distance to take
There is main street of the island around the corner with plenty of restourants and bars.
Get an answer from Hotel Giardinetto staff and past guests.