Hello Clog!! Welcome to HCC and a nice username

There are quite a lot of toll roads in and around major cities across Australia.

Some have toll boths where you can stop and pay with money, however quite a lot don't and this seems to be the trend as new roads are added.
You may notice that a lot of cars have a small white box stuck to the inside of the windscreeen, this is an e-Tag and allows the driver to pay from an account without stopping.
It is probably best to buy one of these if you are staying and driving around a major city for an extended period.
You can get a tag from the local RTA office. You will need to pay a small bond, but you get that back when you return it at the end of your driving time.
As a real world example, if you are driving north from Sydney (city), you will pass through the Lane Cove tunnel which is toll road without physical booths!
If you don't have a tag, look out carefully for the 1300 number advertised near the tunnel, you can call that and pay by phone.
Always call, as I know for a fact they will catch you and then charge extra as they had to track you down ...!
Here is the web site for the Lane Cove tunnel :
http://www.connectormotorways.com.au/Their 1300 number is 13 76 26
There are day passes you can buy by phone, this maybe a better option if you are only here for a short time. Details on the website above.
Cheers and thanks for supporting HCC.
Good luck,
Ivan