Take a ride up the hill on the cable car. There's a great view of the city and the harbour from the top.
It's $1.80 one way and $3.60 return.
At the top of the cable car, there's a small museum outlining the history of this service in Wellington, with old cars etc.
Wander in and take a look.
Take the Funicular%c& cable car up to the Botanical gardens. There are some lovely views from the top over the city
Make sure you take the cable car from Lambton Quay in the heart of the city to the top where you will get panaromic view of the city and harbour .