Taylor Swift & Jake Gyllenhaal's Thanksgiving

The new Us Weekly (now on newsstands) has the first photos of Taylor Swift and Jake Gyllenhaal's romantic Thanksgiving Day weekend.

Arm in arm, the two looked more smitten than ever as they took an afternoon stroll in Brooklyn's Park Slope neighborhood, where the actor's sister, Maggie, lives.

Dating for just five weeks, the romance is heating up, several insiders tell Us Weekly.

“She loves his family and he loves hers," says a Swift source.

Adds another pal, “It’s definitely serious.”

So, how did the unlikely romance come about?

Find out and get more - including why their relationship works; their thoughts on the nine-year age gap and what their families think; how Swift is already "love-struck" and must-see exclusive photos - in new Us Weekly today!

Credit: Us Magazine

Taylor Swift and Jake Gyllenhaal in Nashville

It's been a busy travel weekend for most Americans – and especially for Taylor Swift and Jake Gyllenhaal.

Two days after enjoying maple lattes together in Brooklyn, N.Y., on Thanksgiving, Swift and Gyllenhaal popped up in the singer's hometown of Nashville.

On Saturday afternoon, the couple were spotted getting a late breakfast at Fido, a coffeehouse and café near Vanderbilt University and Music Row.

"They were smiling and laughing. They were talking a lot and enjoying each other's company," fellow diner Elaina Mishu tells PEOPLE. "They didn't look like [just] friends."

Customer Emma Rice, who snapped a photo of the pair and posted it online, calls the duo "very cute" and says, "They seemed close."

The singer, 20, and actor, 29, were first spotted together in late October.

And while Gyllenhaal has avoided commenting on his relationship with Swift, they aren't hiding their affection.

"They were not trying to be discreet by any means," another eyewitness says of the pair, who sat at a table near a window. "They were definitely a couple. They looked very happy." 

Credit: People