Don't punt while you are in Sydney bro.
Enjoy the many culturally uplifting pleasures only Sydney can provide.
The MCA, the Opera House, the Art Gallery of NSW, the Manly Ferry, Circular Quay.
I highly recommend the Yatsuo Miyajima exhibition at the MCA, and Nude: Art from the Tate Gallery at the Art Gallery of NSW, and Icons: from the MAAS Collection at the PowerHouse Museum.
You will be a much better person after experiencing these things.