All iNaturalist Australia records are fed into the ALA regularly. Once your records have been transferred across to the ALA from iNaturalist, you'll be able to see them in the ALA through your User profile page.
To make this happen, you will need to link your iNaturalist account to your ALA account. Here's how it works:
1. Log in to the ALA
2. Go to My profile
3. Under External site linkages click on Link to my iNaturalist account
4. You will be asked to log in to iNaturalist ...
... and authorise the ALA to use your account details. Click 'Authorize'
5. Back at your ALA user profile, you will now have a link to your records in ALA.
For more information read: How does data get from iNaturalist to the ALA?