While I do agree with jkindc, I am also a firm believer in the potency of the hormonal birth control pill. The pill alone, when taken properly, is more than 99% effective in preventing pregnancy. But, you must be a "perfect" pill user to experience this kind of protection. I don't think a condom is necessary (as long as you and your partner do not have and are not spreading any STD's) if you are really good about taking that pill.
BUT the pill fails when you don't take it perfectly. This means you miss a few, you take them at erratic times, you experience nausea/vomiting/diarrhea (which may not let your pill absorb properly), or you undergo treatment with contradicting medications. Any of these things can be attributed to pill failure.
Whether you use extra protection or not is your decision. I do not think it is a, "are you willing to take the risk" kind of question because I do not see a "risk" in relying on the pill solely. Just be [very] careful, and have fun.