No, Secret is typically closed on Easter Sunday.
Secret, like most national beauty supply chains (Sally Beauty, Ulta, Beauty Brands), follows standard retail holiday calendars. Easter Sunday—along with Christmas Day, Thanksgiving, and often New Year's Day—is a near-universal closure for non-essential retail in the United States.
If you need beauty supplies on Easter: shop the Saturday before; check 24-hour drugstores (CVS, Walgreens) which often carry basic hair/nail products; or order online for pickup Tuesday.