You won't be able to "complete" your apprenticeship as such. You will probably have to start over again in their system, so all you need to do is secure a place for it then get over there.
The various CAA's worldwide are seriously territorial about their standards and qualification requirements and Aus is one of the stricter ones. They will require full "retraining" even if you were licensed.
PS, look here for some gen...
http://www.pprune.org/engineers-tech...australia.html