I don't think you can. A lot of countries allow Australian travel 3 months without visas, but if you want to work in those contries, you have to get work visa, even you are an Austraian.
http://www.immigration.govt.nz/m ... eropportunities.htm
If you are entering New Zealand with:
a valid Australian passport, or
a current Australian Permanent Residence Visa, or
a current Australian Resident Return Visa
you will normally be granted a New Zealand residence class visa on arrival.
Australian citizens and people who hold a current Australian permanent residence visa or a current Australian resident return visa do not need a New Zealand visitor visa to enter New Zealand.