My husband teaches year 7, the last year of primary school here.
He prepared a cv when we arrived and after registering as a teacher began visiting schools. He also regoistered with relief teaching pools which are st a number of different schools. Within a few days he had a few days work and then was offered and started a contract at one of the schools.
Just 4 weeks after arriving in 2013 he had a contract which became permanent. He may have been lucky but if you are prepared to work in northern suburbs, which tend to be harder and more challenging roles with higher staff turnover he should find work without too many issues.