Would suggest you look at this guide for more information:
https://atarnotes.com/forum/index.php?topic=135433.0The university you study medicine at doesn't matter for future career opportunities after you graduate.
Entry requirements for each university are listed on each course page - for graduate entry medicine, you generally need a degree in any discipline, GAMSAT, and an interview if you're shortlisted. University of Melbourne used to have prerequisite subjects but this is being removed from 2022.
Monash Graduate Entry MD only takes students who have a Monash degree in Biomed, Science, Pharmacy, Physiotherapy. There are some pathways where students who do a particular degree are preferenced - for example, ANU and Griffith among other universities have some options.