@paanfsurn
<a href="https://www.homeaffairs.gov.au/trav/visi/visi/bridging-visas"><b class="Bold">Bridging Visa</b></a>
A bridging visa is a temporary visa. It allows you to stay in Australia after your current substantive visa ceases and while your substantive visa application is being processed. It can be granted if you lodge an application in Australia for a substantive visa while you still hold a substantive visa.
Basically, you don't apply for a bridging visa... it is granted to you when you apply for another visa to allow you to stay in Australia while waiting for the result of your application.
Since, this is a sub-forum for nurses, allow me to presume that you're considering "getting" this to allow you to stay in Australia after finishing your bridging program? Visitor (600) visas are granted more or less with a 1 year validity with a maximum of 90 days stay per visit. Of course, there are instances of longer validity and longer maximum stay but I it's kinda rare. So if you're taking BP for say 9 weeks and you arrived 1 week prior to that in Australia, that's already 10 weeks (70 days) leaving you 20 days to process AHPRA registration, ANMAC assessment, EOI submission and waiting for Invitation To Apply for the 189/190/489 visa.
AHPRA registration after BP (which is a requirement for ANMAC assessment) can take at the very least, 1-4 weeks, ANMAC assessment (which is a requirement for Skilled Migration) about 4 weeks, and waiting for invitation to apply, another 2 weeks, at the very least.
Looking at that timetable, it would be impossible to do those on your entry for the BP. But very much possible on subsequent entries.