Ever since Katy Perry and Orlando Bloom were seen flirting at a Golden Globe's afterparty last month, they have been spending an awful lot of time together, and now she's even met the family! But are the two officially dating, or is it just a fling?

First, the two were spotted cozying up together at dinner at the Sunset Tower Hotel on Wednesday, according to Page Six. An onlooker even said that they had "that new-relationship glow about them" and that they were cuddling the entire night. They've apparently spent a lot of time together over the past month.

Then on Saturday, things seemed to get more serious as she accompanied Bloom and his 5-year-old son Flynn to Robert Downey Jr.'s son's birthday party.

"Katy was entertaining Flynn so he wouldn't get bored," an eyewitness told Us Weekly. "It was a long drive and she was talking to him and making him laugh."

While at the party, though, they kept their hands to themselves as she let Bloom spend time with Flynn.

"They were laughing, playing music and joking around with Flynn," another source told People. "They stayed at the party for hours. Katy looked very comfortable at the kids party. She seemed very happy to spend the day with Orlando."

It's hard to tell if it's more than a fling, as neither Perry, 31, nor Bloom, 39, have commented on the new romance.

"She's having fun with Orlando," a different source told Us Weekly. "I don't think she's seeing this as long-term yet. It's a fun hookup thing right now."