LeAnn Rimes and Eddie Cibrian
© Joe Buissink 2011. All rights reserved.
04/27/2011 at 07:00 AM EDT
and Eddie Cibrian bucked tradition.
They got ready together on their wedding day, sipped champagne and jammed to Sir Mix-a-Lot's "Baby Got Back" before their 35 guests arrived for their surprise nuptials
But to keep a hint of mystery, Rimes slipped away to another room when the time came to put on her wedding dress – a handmade Reem Acra gown accessorized with sparkling jewelry
"I was just in awe," Ermenegildo Zegna- clad Cibrian, 37, tells PEOPLE of seeing Rimes in her dress for the first time.
LeAnn and Eddie share all the details – and photos! – from their Malibu wedding in the new issue of PEOPLE, on newsstands Friday