Gossip Girl costars Blake Lively and Penn Badgley are not shooting a scene for their hit show in the photo below. It's just them, dating in real life, and going more public with their relationship!

Below, the couple holds hands and takes a romantic stroll through downtown New York City on Monday, Memorial Day.

They are so cute, we can hardly stand it ...

Follow the jump for two more photos of Gossip Girl's sizzling real-life couple, Blake Lively and Penn Badgley ...

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