Spending nearly all of her free time with her new beau, Kate Hudson was spotted arriving to Alex Rodriguez’s apartment in New York City on Friday (July 3).

Joined by a couple of friends and her son, Ryder Robinson, the “Fool’s Gold” babe looked cute as she hopped out of a cab and made her way inside for the day’s visit.

Since the two started getting close, Kate has been in attendance at numerous Yankees games, recently watching as A-Rod hit his historic 564th home run this past Friday night.

“Kate was standing and clapping and cheering during the game, especially when A-Rod hit a homerun,” a source told People magazine. “She looked adorable and was so happy.”