If Elvis was the King, then Lisa Marie Presley must be the princess.  The daughter of Elvis and Priscilla Presley was born in 1968 in Memphis, Tenn., to a very public life.

In an exclusive interview with Cameron Mathison of " Good Morning America," Presley talks about raising a family and about her new exhibit at Graceland.

Having grown up in the public eye, this member of pop royalty is also a mother herself.

Presley has 3-year-old twins, about whom she says: "They're my entire focus.  They're already - you know, they're already ruling the world, the two of them.

"It you know, it's not really hard.  It's just that you kind of learn how to think double.  'OK, she's good, now what about her?'  Like, you have double - everything's double.  'She's fine, her - what - OK, what - what was that?'" Presley said with a laugh.

The little twins have just started to understand who their grandfather is: "They have a little iPod in their room.  And I put his music on.  And they dance.  And I explain, 'This is your grandfather.'  And they kind of just happily say, 'That's my grandfather.'"

Presley also has a son and another daughter, Rielly Keough, who is an actress with four upcoming movies this year.

"I'm so proud of her. And every time I see a movie, I cry," she said.

As a parent, Presley recalls her father, who would sing her the song "I Can't Help Falling in Love."

"What I remember is him waking me up to do things, you know?  Like, get in the golf cart and go take me, you know, for a ride in the middle of the night or in the wee hours of the morning or at some point when he probably shouldn't have been doing that.  It was always really special for me to get in the car - you know, golf cart with him, be alone with him," she told Mathison.

Today, Presley unveils a new and very personal exhibit at Graceland, "Elvis Through a Daughter's Eyes."  This exhibit features never seen before family memorabilia, such as her rocking chair and playthings.  It also has a look into her incredible closet, complete with faux fur, and a reproduction of her father's closet.

"This was how I remembered his closet.   Just the most amazing clothes - ever.  Including the pimp hat," she said.

Not only that, but a briefcase telephone was also discovered in the archives.  (Before there were cell phones.)  And a guitar from the movie "Spin Out" is also featured in the exhibit.

"This was the closest thing in the physical world that he had to him, so it was the one thing that I felt connected to," she said.

The physical belongings, featured in this new Graceland exhibit, are what still connects her with her father, which she has finally decided to share with the world.

ABC News' Cameron Mathison and Sabrina Parise contributed to this report.