Hi Kathy123,
You would be a RN - registered nurse in Australia. Just briefly about the classifications. It goes assistant nurse, enrolled nurse, registered nurse and so on.
Enrolled nurses have been to college/university for 1.5 years for their enrolled nursing qualification. If they wish to become an RN, they will attend university again to gain their RN qualification.
Best way to work here for a year as a nurse is (in my opinion): Apply to AHPRA, basically AHPRA is the equivalent to NMC. Howde has posted a link above.
Once you get the paper work/email from AHPRA (few weeks or months) then you can apply for a working holiday visa (if under 30) as kindly pointed out by Blossom. http://www.immi.gov.au/visitors/working-holiday/
Good luck