Amal and George Clooney share their love story and reveal their twins' first words

Amal Clooney lands a cover of her own!

While her husband is most often in the limelight, the 40-year-old attorney covers the May issue of Vogue magazine and shares what it's like to be a hard-hitting lawyer, a mother of twins and Mrs. George Clooney.

Last June, Amal gave birth to Ella and Alexander, and reveals that they are already talking a little. "We’ve had some ‘mamas’ and ‘dadas,'" she says."George was very careful to ensure that ‘mama’ was the first word."

See Amal Clooney through the years:

George also gets a chance to gush over his wife, and the work she does as a international human rights attorney. "She’s the professional, and I’m the amateur," he says in praise of Amal. "I get to see someone at the absolute top of their game doing their job better than anybody I’ve ever seen."

The couple also reveal how they first met at George's home in Lake Como, Italy, and came to start dating. "Of course she was beautiful,” the 56-year-old actor recalls. “But I also thought she was fascinating, and I thought she was brilliant. Her life was incredibly exciting -- the clients she was taking on and the superhuman work that she was doing. I was taken with her from the moment I saw her."

Amal also feels that their relationship seemed effortless from the start. "It felt like the most natural thing in the world,” she says. “Before that experience, I always hoped there could be love that was overwhelming and didn’t require any weighing or decision-making."

The mother of two muses that love found her when she wasn't even looking for it. "It’s the one thing in life that I think is the biggest determinant of happiness, and it’s the thing you have the least control over,” she explains. “Are you going to meet this person? I was 35 when I met him. It wasn’t obvious that it was going to happen for me. And I wasn’t willing or excited about the idea of getting married or having a family in the absence of that."

George -- who was married to actress Talia Balsam in his late 20s -- admits that he too didn't think love and marriage were in the cards for him. "If you know anything about my crazy life, you know that I’d pretty much committed to the idea of never marrying again,” he says. “But I started dating Amal, and I immediately knew that something was very different."

This became very clear to him when they took a safari in Africa. “Some giraffes walked up to her,” he remembers. “They just came out of the blue. I took a picture of her, and she was smiling. I said to my buddy Ben, ‘You know, I think I should ask her to marry me.’ And Ben said, ‘I think that’s a good idea.’"

In addition to making headlines for her marriage to George and her career efforts, Amal also turns heads thanks to her impeccable fashion sense -- and she's OK with that.

"I hate the idea that you somehow, as a human being, have to be put in a box,” she tells Vogue. “There’s no reason why lawyers can’t be fun -- or actresses can’t be serious."