I did the crazy thing and just goggled "australia pr work in nz" nd up came this as my first result:Hi All,
I just wanted to know, if we have valid Australian PR, can we work in NZ as well? Any ideas?
Not true. Australian PRs and citizens obtain resident visas upon arrival in NZ. Resident visa holders have access to all the same benefits that NZ PRs and citizens have including access to public schools, reduced fees at universities and access to publicly funded health care (they don't have Medicare as such - so everyone pays for GP visits, etc. - but they do have free public hospitals).the short answer is yes.
The long answer is you won't get the same benefits as you would get in australia, no medicare benefits nor free schools.
If you wish to work in NZ get a NZ PR