Gwyneth Paltrow was a keynote speaker at the #BlogHer15 conference in New York on Friday, and the 42-year-old actress was surprisingly candid about her split from hubby Chris Martin and how they're raising their children, Apple, 11, and Moses, 9.

So what does she have to say to her kids about stories they might seen in magazines and online? "You know Daddy and I are famous and there's going to be a lot of stuff out there. I can't control what you'll see," she told the crowd. "But you know what's real and how much we love you."

The Oscar winner added that her kids "understand the difference between the inside and the outside world," adding, "I definitely don't read any tabloids. You really have to find a way to separate the words of people you respect – stranger or not, but respectful content, positive or negative – and people who are just in pain and projecting their own sh*t onto you. If you read something bad about yourself and it stings you I've learned that somewhere that's a judgment I'm holding about myself so I'll try to work through that."

On her relationship with Martin, Paltrow added, "I'm very, very lucky that I have a partner who's willing to do it with me in a really collaborative way. I'm really for Chris and he's really for me and our children are our priority. What that really means is: Even if you hate me and never want to see me again, we are going to brunch." Ha!