How do I report a stipend I am receiving through a grant?

I am a graduate student and receiving a stipend through a grant. The stipend is to help cover living expenses, etc. The stipend is supposedly taxable and I am supposed to treat it like self-employment income. However I am shocked by the amount of tax due because I am not receiving any additional income at this time. I reported it under a 1099-MISC. Am I reporting this correctly?