I know a lot of people here have given advice on what to do, and I'm afraid I can't give a novel idea that no one's come up with before. But here's my take on it.
I'm in my first year of grad school and my gf is still an undergrad, so I understand that part completely. You don't say where you're from or where you're going, but leaving doesn't have to be the end. My gf and I are 6 hours apart now, but we see each other on web cams everynight and try to visit in person at least every two weeks. More if possible.
Now I really don't even want to think about what would happen if she told me she was going to die, but I can tell you that I would do even more to be with her as much as possible. While I don't think that putting off entry into grad. school is really an option, for many reasons cited in other posts, that shouldn't stop you two from having a meaningful relationship. At least you're lucky enough to get a summer with her before you go off.
In closing, if you're going to do it make sure it's for the right reasons. And I hope that the both of you will be able to spend a very long time together.
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"Empirically observed covariation is a necessary but not sufficient condition for causality" - Edward Tufte
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