The mysterious rock at Ben Buckler Point (the point in North bondi) is said to have been washed up by a storm in 1912 - it weighs over 200 tons! Take a look at it! :) And while you're there, walk round Ben Buckler, you'll get a great view and photo opportunity of the beach!
In the middle of August every year there is a Fun Run from the city to Bondi Beach. Even if you don't join there's lots of people and partiies all evening in Bondi! This year the winner was actually a Finish traveller! :)
The Gap was easily one of my favourite parts of our entire trip to Sydney. The views of the ocean and of the city in the distance are stunning!
The Gap is an easy stop on the Bondi Explorer bus, however the stops can be deceiving. Stay on the bus at stop number ten, Watson's Bay, and ride it up to the top of the hill to stop number eleven. That way, you can walk down the hill instead of uphill. The path will take you along the cliffside of The Gap to meet the bus back in Watson's Bay.
1-17 of November 2002 a art show called Sculpture by The Sea is set up along the coastal walk from Bondi-Tamarama.
If you have some spare hours, take a walk from Bondi Beach to Coogee. You'll walk past some great beaches: Tamarama, Bronte and Clovelly; all smaller and less crowded than Bondi.