Kate Middleton and Prince William are "more open" and "talk about their relationship together" amid her cancer journey, a source tells PEOPLE.

A palace source tells People that the couple is "more open" now following Kate's battle with cancer, adding that the Prince and Princess of Wales "talk about their relationship to

Kate Middleton is making the most of her time following the cancer treatment as she has been enjoying a skiing holiday with her family. The Princess of Wales received cancer treatm

The Prince of Wales wrote that he and the couple’s three kids — Prince George, Princess Charlotte and Prince Louis — “are so proud” of Middleton.

In another sign of the progress she's making in her recovery following her cancer treatment, Kate Middleton apparently felt well enough after the holidays for one of her longtime favorite activities: Skiing.

Kate Middleton and Prince William went on a discreet ski trip with their family over the New Year, and we, the people, are only just hearing about it. According to the Daily Mail, the couple “slipped away from their home at Anmer on the Sandringham estate shortly after Christmas” and spent several days in the Alps—where they were joined by Kate’s family.

Kate Middleton enjoyed a ski trip in the Alps with her family before announcing that her cancer is in remission during an official royal engagement last week, according to a report. The Princess of Wales,

The Princess of Wales went on holiday in the Alps sometime after spending Christmas with the royal family at Sandringham