Unfortunately, money from the NSF GRFP (or any other graduate fellowship) does not count as earned income. As a graduate student, the only money that counts as earned income is from Teaching Assistantships or Research Assistantships where they provide you with a W-2 form (which is completely ridiculous in my opinion...). Perhaps you could ask the university if they could give you a W-2 form for the fellowship money; I doubt they'd do that, as I tried myself.
In Turbotax, you would want to search for "1098-T", which will lead you to a page where you enter your Higher Education Expenses. When you enter your information from the 1098-T exactly as shown, they will apply tax at the normal rate on the fellowship portion that was used for living expenses (not tuition).
Sorry if that doesn't completely answer your question! Perhaps someone else could add to this.