There are plenty of supermarkets none as good as Tescos, Waitrose or Sainburys though. The main groceroy shops her are Woollworths (not the same as the UK woolworths) more expensive but better quality. then there is Coles good reasonable quality and prices. Super IGA and Action and a few others, same prices but the lower end of quality.

The closet big shopping precent is Cleveland with everything you need then there is Capalaba, Carindale or Garden City for big malls Westfield Whats on at Carindale

Cheers
Brent