Wow, thank you for so many enlightening responses.
First, let me explain that my intentions behind getting a diagnosis is to simply help her be successful. We would like for her to attend a university after high school and to be successful in whatever career path she chooses. She is the type of kid that will get a 100% on almost every multiple choice assignment that she is given, but has trouble producing on her own.
She DOES rush through her assignments because she wants to be done quickly. She CAN write, at least legibly, when she takes her time. The trouble is that it takes her longer than the average kid to write legibly, and she probably has an attention span that is smaller than the average kid, and that's a bad combination. Her attention span does allow her to read for a lengthy period of time, though, but the writing or answering questions is difficult for her. She can do wonderfully when answering the questions orally. I've taken to sitting down with her to do her homework and making her answer the questions orally before writing them down. If she doesn't do that, she can leave entire words or thoughts out of her answer.
I want to work with her this summer, but I'm not sure which avenue to pursue. We will certainly work with the typing, but I don't know what to do about the handwriting. I have no problem making her write, write, write all summer long. But in reading about dysgraphia, it seems that may not be productive at all.
I don't necessarily want modifications for her at school, but her report cards are all saying the same thing. She rushes through her work and her handwriting is not improving. They don't do grades at her school, but she'll transition out of that school in 7th grade and grades will be important at that point, certainly.