From http://www.sydneyairport.com.au
Also, there may be a bus service running between the Terminals, 470 from Bondi Beach I think it is. Am unsure, but check that out to see if it carries on from Domestic to International. That would be the cheapest option, but remember Sydney's transport is not intergrated. So you cannot use one ticket on different forms of Transport like Melbourne and Brisbane.
But I am sure Chainsaw will be able to show you around ;)
Yeah but unfortuantly Chainsaw is unable to make it so I will be having a lonly day at Sydney International Airport.