started birth control this month and my period hasn't come

Milly
So I started birth control this month and I started taking the sugar pills last Sunday but my period still hasn't started. I have a boyfriend but we haven't had sex, so I don't know what's going on. I had some brown discharge a few days 2 weeks ago and it came back on Monday and Tuesday of this week. Is it normal to not have a period when you first start birth control? Has this happened to any of you? I really need some reassurance.