You need a visa for Pakistan if you have a New Zealand passport
Visa options for Pakistan
Electronic travel authorization for Tourism
Travelers need a travel authorization to visit Pakistan for Tourism. Travelers must submit their intent to travel at least 48-72 hours before the intended trip to Pakistan and submit their online visa application through the Pakistan Online Visa System. Once received, the applicant will be emailed an Electronic Authorization to Travel (ETA). Travelers with an Electronic travel authorization will obtain a Visa upon arrival. Please check the source for more details.