Generally the health system in Australia provides medical services easily available in most areas. Eligibility for health cards Medicare Cards etc will be laid out in documentation issued with the initial Temporary Resident Visa. Other Visas may vary.
In some instances there may be the desire for a Thai speaking Doctor. There are Thai Doctors in Perth and can be located by enquiring at local medicals centres. Somebody will be able to advise you.
Dr Sak Tunyanittaya:_ 209 Canning Hwy, South Perth (08) 93688225