Nope if your preiod came then you are in the clear. Be safe girly!!!!
You might still want to consider condoms even if you are on the pill. They aren't 100% effective and I've known a few ladies who have still gotten pregnant taking BC pills perfectly. Monitor your flow over the next few days to make sure it's the proper amount (couldn't think of a better word to describe it) and length. If it is, no you don't need to test. If it's not and stops within a day or so, take another test after a few days. It sounds like you don't have anything to worry about though.