For more detailed information go to the Medicare Australia website. Duty Free shopping. You can go duty free shopping once you've purchased your airline ticket. There is a limit on how much you can bring into the country including the quantities of alcohol and cigarettes.You'll need to declare goods exceeding this limit at Customs.or more detailed information go to the Medicare Australia website. Duty Free shopping. You can go duty free shopping once you've purchased your airline ticket. There is a limit on how much you can bring into the country including the quantities of alcohol and cigarettes.