updated 02/18/2012 AT 5:00 PM ET
•originally published 02/18/2012 AT 6:30 PM ET
Elizabeth Smart began a jubilant new chapter in her life Saturday – as a beaming bride.
“To be in one of her favorite places with her family has made for a dream wedding. It’s been an absolutely beautiful day,” her spokesperson, Chris Thomas, tells PEOPLE exclusively.
“She is positively radiant. And Matthew couldn t be happier.”
Smart, 24, exchanged vows with her boyfriend of one year, Matthew Gilmour, 22, in a private ceremony on Saturday afternoon in Hawaii.