Caitlyn Jenner, formerly known as Bruce, makes debut on Vanity Fair cover

Just over a month since announcing the transition from man to woman in an exclusive ABC interview, Caitlyn Jenner, formerly known as Bruce, is making her debut on the cover of Vanity Fair.

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"It's not about the fanfare, it's not about people cheering in the stadium, it's not about people on the street giving me a 'thata boy, Bruce' and patting me on the back. This is about your life," Jenner says in a video from the cover shoot.

The reality television star revealed the transition from man to a woman during a sit-down interview with Diane Sawyer earlier this year. At the time, Jenner referred to the female identity as "her."

PHOTOS: Bruce Jenner through the years

Now, Jenner is introducing "her" with a name.

Caitlyn will be featured in 22-page cover story in the Vanity Fair issue out June 9.

"Bruce, he was always had to tell a lie, he was always living that lie. Every day, he always had a secret, from morning 'til night. Caitlyn doesn't have any secrets," Jenner said. "As soon as the Vanity Fair cover comes out, I'm free," Jenner said.

In addition to the Vanity Fair shoot, Caitlyn Jenner now has a Twitter account. By Monday afternoon, Jenner had set a world record for being the fastest account to ever reach 1 million followers.

Caitlyn Jenner is excited for the reveal, she said.

"I'm so happy after such a long struggle to be living my true self," Jenner wrote in a tweet. "Welcome to the world Caitlyn. Can't wait for you to get to know her/me."

Jenner's children were quick to congratulate Jenner on the cover.

"We were given this life because you were strong enough to live it! I couldn't be prouder!!! Caitlyn, You are beautiful!!!" step-daughter Khloe Kardashian posted on Instagram.

"Now that's a cover," daughter Kendall, who works as a model, posted.

"My angel on earth! #caitlyn," posted Kylie Jenner.

"Freedom! Stunning. #Caitlyn," Kourtney Kardashian wrote.

"Caitlyn Jenner for Vanity Fair Annie Leibovitz! How beautiful! Be happy, be proud, live life YOUR way!," Kim Kardashian wrote in a tweet.

Jenner will be honored with the Arthur Ashe Courage Award at this year's ESPYS on July 15. The award is given each year to an individual whose contributions transcend sports.

"Bruce has received many accolades over the years for being one of the greatest Olympians of our time, but The ESPYS are honored to celebrate Bruce becoming Caitlyn," ESPYS executive producer Maura Mandt said in a press release. "She has shown the courage to embrace a truth that had been hidden for years, and to embark on a journey that may not only give comfort to those facing similar circumstances, but can also help to educate people on the challenges that the transgender community faces."