You still have your period once a month when you use the vaginal ring. Sort of. The monthly bleeding you experience while taking hormonal birth control is actually what’s called a “withdrawal bleed”, and it happens because you don’t have a steady flow of hormones that week.
Since you’re not ovulating and your uterine lining doesn’t build like it normally would, the bleeding you’ll experience on hormonal birth control might look and feel different. We think “withdrawal bleed” sounds a bit Victorian, though, so you have our permission to keep calling it a period.