Poland in Australia

https://www.health.gov.au/resources/audio/vaccines-are-available-for-everyone-in-australia-polish

The Australian Government provides free access to COVID-19 vaccines to all Australian residents, including all holders of the same type of visa. This includes people holding temporary visas, temporary protection visas, bridging visas, refugees, asylum seekers, and temporary protection visa holders. The Government will also provide free COVID-19 vaccine to unlawful non-citizens in Australia, including those in detention facilities.

The Department of Health offers some helpful tips: What should I do before I get vaccinated for COVID-19? | Australian Government Department of Health.

More information:

https://www.health.gov.au/initiatives-and-programs/covid-19-vaccines/learn-about-covid-19-vaccines/what-should-i-do-before-i-get-vaccinated- for-covid-19

If you do not have a Medicare card, you should apply for an Individual Healthcare Identifier (IHI), which enables creation of a personalised immunisation summary in Australia’s digital health record system ‘My Health Record’.

More information: https://www.servicesaustralia.gov.au/individuals/services/medicare/individual-healthcare-identifiers

The given page also provides information on how to obtain certification of documents.

Once a person has received their IHI number, they should take the number with them to any Commonwealth Vaccination Clinic (GP-led respiratory clinic) or a state/territory vaccination clinic.

On the website https://covid-vaccine.healthdirect.gov.au/eligibility you can check if a person is eligible for the vaccine in the current vaccination phase.