Penn rocked a long scarf while clutching onto his iPad and Zoe wore a green skully and a vintage pro black tee.
This is the first time the two lovebirds have really gone public and they were full of laughs, smiles and tons of PDA.
Zoe couldn't help but touch her man's face as the two ate at a local shop.
Penn might have brought his iPad along with him, but his girlfriend Zoe isn't much of an internet person.
The 22-year-old X-Men: First Class actress said to GlobalGrind:
"I've seen cool websites. My friend just showed me this website called the Stumble Upon. I thought that was pretty neat. That was very, very, very, very cool. But I'm not very internet savvy." Zoe continues, "We're the last generation of remember no internet at all."
Penn is currently in New York City, filming this season of his hit CW show Gossip Girl and was previously linked to GG co-star Blake Lively, while Zoe just broke up with her X-Men co-star Michael Fassbender.
We think these two look like the perfect hipster NYC couple! Take a look at more pics in the accompanying gallery.