Hello Miss Swan,
This is what is written on the DIAC website:
Bridging A Visa (Subclass 010)
If you make a valid application for a visa whilst you are in Australia and your application is assessed as valid, you will usually be granted with a Bridging A (Subclass 010) visa.
The Bridging A visa is electronic and you do not need to have a label in your passport.
Important: You cannot travel overseas on a Bridging A visa.