I talked to my payroll dept and they would give me zero information as well.
As far as I can tell, you are NOT a 1099 contractor while you're on fellowship nor are you a W-2 employee. The income might be exempt from certain taxes, though, as was indicated by TakeruK. Also, don't forget that you also get the "standard deduction" (unless you're married) of just under $6000 that you can subtract from your taxable income. So you'll only be taxed on (30-8.7-6) 15,300 of your income at the federal level. I'm not sure what the rates are in California, but probably similar.