Every day Down Under begins with a nice, hearty "brekky." Then, I'd take the bus to Bondi Beach, where I would take the approximately two-hour-long scenic cliff walk to Coogee Beach. There, I'd grab some pizza for lunch. Aussies have incredible pizza - there is nothing that they will not use as a topping.
Then I'd head back to the city and have sundowner drinks at the Opera Bar by Circular Quay, the main harbor. From there you can look at both of Sydney's famed landmarks simultaneously, the Opera House and the Harbour Bridge. Finally, I would take the ferry out to Manly Beach, a cute surfer beach town that's only 30 minutes by ferry, where I'd party at the Shore Club.