Unfortunately, as a temporary resident you can’t apply for the first home owners grant and other government benefits.
If you’re on a spouse visa/partner visa and are buying with your spouse who’s either an Australian citizen or permanent resident then you can qualify for the First Home Owners Grant (FHOG).
You must buy the property together as ‘joint tenants’ not as ‘tenants in common’. Please refer to your conveyancer for more information.
Other Australian government benefits such as welfare and Medicare (public health cover) aren’t available to temporary residence visa holders.