FYI: I moved your question from Outside>Bikes to Living>Gardening. Hopefully you'll get more responses here. Addressing the question, pitcher plants are carnivorous plants, will you be providing food? Because inside a green house, bugs will have trouble getting to it. Simple green houses can be made out of most anything clear, depending on how large your plant is. A clear storage bin could do the trick if it's on the bigger side. Putting the plant in a tray with supports to hold up plastic wrap can work well, too.
What kind of pitcher plant do you have exactly? Nepenthes or Sarracenia? If you're not sure, take a picture for identification. Where do you live? Or what zone do you live in? Sarracenia can come from such exotic places as New Jersey and will actually require a dormant season in general. Nepenthes can be overwintered inside the house with a few extra provisions.
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Is this already in the special soil in a pot and what do the instructions say (if that is the case)?
L