There are so many ways of transportation in Sydney. The example of public transport are; trains, light rails, buses, and ferries. You can seek more information on NSW Transport and you can also download the Trip View app.
You can also use Uber. You need to sign up and download the app. It is very convenient and affordable. The other option is taxi which is also convenient.
Moreover, if you are planning to drive in
Sydney I would recommend you to have a good read on International drivers and riders to have a proper understanding. You can also visit rms to have any information regarding the NSW road for example live traffic,
service NSW, Transport information.