Taking the pill to stop getting period

Hello, I have never taken birth control in my life. I just got prescribed some for acne purposes and to stop my period. I haven’t taken it yet bc my dr said to wait until I get my period and start it that Sunday. I should be expecting my period here shortly, maybe April 13th. If I continue to take the pill and not the sugar pill, can I miss my period for June’s period? Or is that too early in a cycle to regulate not having my period? Anyone have insight for me?

Thanks!!