Hermione isn't going to mope about it forever, that's for sure. No, maybe she doesn't have the closest relationship with her parents since she spends a lot of time at Hogwarts and such, but as far as we can tell, it doesn't seem like Hermione had a bad falling out with her family or anything. I've always been under the impression that deep inside, she still loves them. Sure, they live in different worlds, since Hermione is involved with a lot of magic, and her parents don't know much about it, but I think there is still some kind of a relationship there. It's not exactly nonexistent or anything.In my story, Hermione's mother dies and her father is physically handicapped for life. How do you think she'd deal with this?
If her mother dies, Hermione will grieve. She'll take time out of her schedule to deal with the situation. From what we have seen, she can get quite emotional, and I think that a family death is going to arouse a lot of strong emotions. I think that one of the things she'll feel is guilt, like Periwinkle said. She hasn't always been around with her family and didn't get the chance to spend more time with them. She blew off family holidays to spend time with Harry and Ron. I think she might feel bad about that.
As for her father, she'll find a way to take care of him. She doesn't really have siblings, and Hermione seems to be a pretty loyal person. She isn't just going to ditch her father, but she won't stick around forever. She'll look after him and visit him and stuff, but I can't see her permanently caring for her dad. It's not that she doesn't love him, because I'm sure that she does, but I am sort of under the impression that she's very immersed into the wizarding world, and it'd be very hard for her to live in both worlds.