Getting her to do anything but read and go shopping for books is like pulling teeth.
it's time to pull some teeth. I completely agree with Miranda that she is nearly an adult and that you have not prepared for her adulthood.
I asked her to stop reading and talk to me and her dad during dinner, and I thought she had put her book away, but I later found out she had hidden it in her lap under the table and was trying to read anyway.
Stop asking her things. Start telling her thing. Books aren't allowed at the table. Check if she has one, then talk to her. If you guys are actually talking to her, there's no way for her to pull that, and you really really need to talk to her and connect with her. (you are laying the foundation for your adult relationship with her. If you don't start talking with her, you won't have one).
Talk to her about things she is interested in, so, books and authors.
Ask her to recommend a book to you, and then read it and talk to her about it as you read it.
Another idea is to read a book together that has (or will soon be) turned into a movie, and then watch the movie together. But I strongly advice connecting to her around her interests.
I've asked her if she'd be interested in any sports or anything, she said she hates sweat because it's nasty and disgusting and she doesn't want to have any other activities.
Yoga and swimming are examples of exercises that don't cause people to sweat. Again, don't ask. Tell. She needs to get off her butt or she is going to be a very unhealthy adult. Doing things as a whole family is another option -- hiking and biking work well.
She wants to be able to read when she's done with her homework and she just wants to read all summer and do nothing else. I don't know what to do. Should I leave her alone?
No, I don't think you should leave her alone. I think you should parent her while you still have the chance. You have VERY little time left.
I like Miranda's ideas and suggestion (especially the trip idea). Here is what I would have her doing this summer:
1. Volunteer work. This would be required. I suggest something book related, like the library. And how much she complained and whine wouldn't change it.
2. Laundry. You still haven't listed a single household tasks that she does. I'd start with her doing her own laundry, including sheets and towels.
3. Cooking. Her own simple things plus one meal a week for the whole family.
4. EXERCISE of some sort.
5. A monthly allowance that goes into an account, and that she has to balance. No more of this taking her shopping nonsense -- she learns to budget. (in addition to her book money, this would also be her money for toiletries, make up, etc).
6. How to get around town without you. This looks very different for kids in different size cities, on different budgets, etc. But its time to learn to drive, or how to use public transportation, or bike commute, or something.
I know it sounds like a lot (and it will to her too) but it really isn't that much. She can put laundry in, and then read while the machine does the work. My avid reader likes cookbooks on different cuisines, and gets them from the library or used bookstore. One volunteer shift is just a few hours (and one of my kids figured out a way to volunteer and read and the same time). She can do everything on this list and still have tons of time to read.