Anna Chlumsky Welcomes Daughter Penelope Joan

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Anna Chlumsky, who shot to fame as a child star in 1991 s My Girl, has a little girl of her own now.

Chlumsky and her entrepreneur husband Shaun So, both 32, welcomed daughter Penelope Joan So on Thursday, July 11 in New York City, she tells PEOPLE exclusively.

“She’s a really good mix between my husband and me,” the Veep actress tells PEOPLE. “When she’s with him, you see him, and when she’s with me, you see me. She’s a perfect mix.”

“We think she has my mouth, but it’s hard to tell. Even the color of her eyes, they are different in different light. But she has a really full head of hair.”

It’s been quite a week for Chlumsky, who on Thursday also earned her first Emmy nomination for her work on Veep.

“I’m still in shock. When I got the call I wasn’t sleeping because I was breastfeeding my daughter,” she says. “It was neat because it was me and my husband and my daughter all in the room getting the news at the same time. When [my manager] told me, it was that nervous, happy, appreciative laughter. I just laughed a lot! It feels really great to have your work noticed.”

Not surprisingly, Chlumsky is on cloud nine about all the new developments. “I’m really, really happy. I’m just smiley,” she says. “I have this new bundle of love that’s now in my life. She has made my life even better.”

And motherhood? “I’m really surprised how real it is,” she says. “What’s really strange is how fast it happened. You prepare for so long, and all of a sudden the baby’s here … It’s seriously the best thing. Holding her is fantastic. It’s one of the more enjoyable things. It doesn’t get boring at all. I could hold her all day.”

– Tim Nudd with reporting by Paul Chi