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And here's a fabulous musical explanation of how the church came to franchise it's ecclesiastical services and doctrinal instruction in a process known as correlation.
You can't provide that for her so your marriage will be defective from the outset. Once you both die, you will not be married in the afterlife and she will get assigned to be the polygamous wife of someone else.
This is because if your relationship gets serious and you guys get married, then she may have to forgo many of the customs of her religion. So if you feel like you both are getting serious, then talk to your girlfriend in time and sort this issue out.
Learn more about the LDS Church. If she identifies as a Mormon, then she probably takes her faith seriously, and it means a lot to her.
You won't know this until you do it and that is really important information to get before a marriage contract. Either way, if you have kids and you don't convert, she will divorce you and take your kids away from you and you will be shunned from her community.