For more info go to http://www.centrelink.gov.au and follow the links to Individuals. It includes a section for those who have moved to Australia.
Update 11/11/2003
With so much to deal with before leaving your home country, (taxes, moving house, paperwork etc.) the careful planning of your expatriation to Sydney is an essential step. As far as healthcare is concerned, your local social security scheme won’t be accompanying you to your host country and, once abroad, you might be surprised by the care system you find in Australia So, before leaving, make sure you have appropriate cover!
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