Not a lot. It tends to be a holiday destination with lots of fast food and quick food options. Want an ice cream, a pancake, fish and chips, they are all there. There is even a particularly good fish shop for people wanting to do a little cooking themselves. There have been noodle shops and similar but they tend not to last. How can you survive when all people want is takeaway.
Anyway, the consensus from last year's Good Food Guide was that there was not a single restaurant in the area worth more than 12/20 - which is the cut off point - so Batemans Bay received no listings in the guide which is an accurate assessment of the best the state has to offer. about 9 years ago