You stated above that you do not currently hold a SCV - Special Category Visa...
Most New Zealand citizens who enter Australia on a New Zealand passport do so under the Trans-Tasman Travel Arrangement. New Zealand citizens who enter Australia under this arrangement do not have to apply for a visa before travelling. They are granted a Special Category visa (subclass 444) (SCV) on arrival in Australia, subject to meeting certain health and character requirements.
if you do not have a SCV, then which temporary visa are you currently on?
We need to determine you current temporary visa status before we proceed any further.
Assuming you are actually on a SCV, but just were not aware of it.. then in order to apply for one of the 18 classed of Permanent Resident Visa's that apply to NZ's...
Permanent Residency Visa for NZ Citizens
You MUST have one of the 18 permanent residency visa's that apply to NZ citizens (before you can apply for Australian Citizenship). In order to obtain one of these PR visa's you MUST meet the legislative requirements.
Not all NZ Citizens will meet the requirement for a PR Visa
The Australian Government does however acknowledge that not all New Zealand citizens will meet, or continue to meet the legislated requirements to be granted a permanent visa.
Here is a search showing 26 visa types that may apply to you as a NZ Citizen seeking to live in Australia permanently... we note the SCV (sub-class 444) allows you to live in Australia permanently, but is only a temporary class visa...
Please look at this list in detail, and let me know which visa types you think apply to you.
I can then help you determine, if any are permanent visa, and if so, the steps and forms to complete to apply.