Paris Hilton’s honeymoon has begun!

On Sunday, the 40-year-old reality star gave Instagram followers a first glimpse of her “honeymoon world tour” with new husbandCarter Reum, days after they tied the knot in Los Angeles. Thetropical photosshow the newlyweds cuddled up while going for a swim. One shot shows the 40-year-old entrepreneur kissing Hilton on the cheek, while theCooking with Parishost poses on a boat in another.

“First stop on our Honeymoon ☀️ world 🌎 tour… Bora Bora 💕✨💕 Swimming in the South Pacific oceans 🌊 with my love 🏊‍♂️🐠🐟” she captioned the snaps, adding the hashtags#ParisAroundTheWorld#MyDreamHoneymoonand#ParisInLove.

Shutterstock

Paris Hilton & Carter Reum Honeymoon in the South Pacific - Nov 2021

The celebrations continued witha neon carnival-themed bashat the Santa Monica Pier, and adinner with dancingback at the estate.

Paris Hilton & Carter Reum Honeymoon in the South Pacific - Nov 2021

Speaking withPEOPLEin this week’s issue, the newlywed said she had never been happier.

“This is the most magical feeling in the world,” Hilton says. “Knowing that I officially get to spend the rest of my life with the love of my life is a dream come true.”

Paris Hilton & Carter Reum Honeymoon in the South Pacific - Nov 2021

Adds Reum: “Paris is the love of my life. That is one thing I know without a doubt.”

Never miss a story — sign up forPEOPLE’s free daily newsletterto stay up-to-date on the best of what PEOPLE has to offer, from juicy celebrity news to compelling human interest stories.

Paris Hilton & Carter Reum Honeymoon in the South Pacific - Nov 2021

The couple knew each other for 15 years before they began dating in November 2019, and announced theirengagementon Hilton’s 40th birthday, following a romantic beachfront proposal.

“We just had this incredible chemistry,” Hilton told PEOPLE in 2020 of her instant connection with Reum. “We had our first date andhaven’t spent a night apart since. It’s pretty amazing.”

source: people.com