Lovely Nepenthes plant Lindsey! Sorry cannot help with its complete name, sometimes there are hybrids.
I use rainwater (if I get to collect some during winter) if none, then I used distilled water to water my Nepenthes. My growing conditions here are much drier, and so far I find it grows much better when I make it sit in distilled water. It will vary depending on your humidity levels. Good luck! Enjoy growing them! It is so much fun watching it form new leaves and pitchers.
Here is a link you can further read about its care:
http://www.pitcherplant.com/ca...