Hey Phizzels and welcome to the forums! Pinguicula.org is a phenomenal website and I definitely recommend checking them out if you have questions or concerns about growing your plants.
P. gigantea is a Mexican species, so could be cross-pollinated with any other Mexican Pinguicula, but this would create a hybrid (as Smooter80 says). If you want to try pollinating your plant with its own pollen you absolutely can! Some of our forum members have had mixed results with self pollinating their Pinguicula but I don't think it'd do any harm to give it a go (I've done it successfully).
If you wanted to cross-pollinate plants without creating a hybrid you can either pollinate your plant with its own pollen, as mentioned, or buy a second plant of the same species and wait for them both to flower and do it that way. Adding some genetic diversity by using plants from different sources is a good thing too, as Smooter80 says.
These plants can reproduce vegetatively quite prolifically after a growing season, but there is something awesome about growing them from seed, especially from seed from your own plants.