The healthcare system here in Australia is supposedly quite good though the government encourages the citizens to take up private healthcare. The people can get 'free' treatment when they are ill in bulk bill clinics. So whether you are seeking for thrush treatment or other common ailments, Medicare covers the most part but you would need to pay for your own medication. And medication isn't cheap here.
We have yet to find a family doctor and maybe it's time to ask around and put one down in our family healthcare list. This is part and parcel of settling down in a new country.