07/15/2011 at 06:00 PM EDT
Talk about a day in paradise.
and Nick Lachey
were married Friday evening in a tropical island ceremony in front of just 35 friends and family, their reps confirm exclusively to PEOPLE.
"For us, this is just a stepping stone to do what we ultimately want and that’s to start a family together," Minnillo tells PEOPLE.
The pair, who became engaged
in November, flew their wedding guests to the secret location as a surprise.
"Nobody knew where they were going," says Minnillo, 30.
Adds Lachey, "Our wedding invitations were in the form of a plane ticket. We told them they were going away and the attire was ‘island chic.’ It was all very vague."
Minnillo, the new host of Wipeout
, donned a two-piece Monique Lhuillier ensemble featuring an intricately embellished lace corset with rose and crystal detail, paired with a signature hand tufted skirt made of silk faille.
The look was completed with a tailored bow belt at her waist and chapel length tulle veil.
Lachey, 37, who hosts The Sing-Off
, sported a Dolce & Gabanna suit.
Their wedding will be televised on a TLC's special called Nick & Vanessa's Dream Wedding
premiering on July 30 from 9-11pm ET/PT.