Non-vaccinated travelers must present a negative PCR test result taken within 72 hours of travel and are also required to take a second test "at their own expense" on day three of their stay.
Georgia tourist visa is not required for citizens of New Zealand for a stay up to 365 days.
Check with your airline in case you have connecting flights overseas as part of your journey to Georgia. It may be the case that countries you pass through en route to your destination may require a separate transit visa. Please refer to visa requirements of the specific country.