Here
https://www.immigration.govt.nz/new-...ills-work-visa is the INZ web page. Read all that, and the links off it, and it tells you exactly what you need to do. (See 'The application process', down at the bottom of the page.
The employer doesn't have to do a labour market test because the job is on the Long Term Skills Shortage List.
http://skillshortages.immigration.govt.nz/chef
If your position is in an occupation on one of our Essential Skills in Demand Lists, you don’t have to check if there are any New Zealanders available before you recruit overseas.
https://www.immigration.govt.nz/empl...al-skills-visa