I went to New Zealand for a holiday and what struck me was how green the place was. It rains a lot! They have geysers as well (those stinky mud pools). And the most beautiful waterfalls.
If she is leaving soon, it is likely she is going for the skiing/snowboarding. I think if I were to do a grouping of things, I would put a snow capped mountain, a New Zealand flag, a Kiwi Bird (not the fruit), a Maori Tiki, a football decorated like the All Blacks (the All Blacks are the Rugby Union team in New Zealand and are the biggest thing there), sheep etc. And as someone else mentioned, it is the land of the long white cloud - literally! I remember flying and being mesmerised by how the cloud was just this long straight line that seemed to go forever!
If you google all the things people have mentioned, you'll find a lot of images to draw inspiration from.