As you can see from that comment, the Pell Grant award is for the entire 2010-2011 school year. The money will be sent to your school in two equal payments - $1650 in the Fall, and $1650 in the Spring. If you don't register for Spring semester, or you register for less than 12 credit hours in either semester, you won't receive the full $3300. That's why the instruction also says "you may be eligible".
Part time students don't qualify for the full award, and the full award is only paid to students who attend two semesters (or more) during the academic year.
Your school will send you a financial aid offer letter - there will probably be other forms of aid in your aid package, other than just that Pell Grant. For one thing, you are certain to be offered the opportunity to borrow from the Department of Education's exceptional Stafford Lending program. You'll be able to borrow up to $5500 this coming year, and you're already approved for that loan - you don't need to answer questions about your income, debts or credit history. The loan is entirely in your name - there's no cosigner needed, and your parents aren't involved.
There could be other forms of aid, but you won't know this for sure until you receive the aid offer letter. Watch for it, and read it very carefully - it's not just for your information, it's also filled with important instructions about the steps that you'll have to take to get that aid disbursed. The aid offer will be for the entire year, though it's likely that the letter will break it down, and show you how much you're being offered for each semester. Again - if you don't attend - or you're not a full-time student, you won't qualify for all of that money.
Remember - the money doesn't come to you - it goes to the school. Financial aid money isn't for whatever you'd like to use it for - it's to pay your school bills. Your school gets first crack at all of your aid money - whether that's the grant, your loan, or any other aid. They'll apply it to your bill - what you owe for tuition and fees. If there's any money left when your account has been paid in full, the remainder will be passed on to you for your use in paying other educational expenses, like your textbooks, your room and board and your school supplies.
I hope that helps - good luck!