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Newlywed bliss!

Anne Hathaway and husband Adam Shulman were spotted getting cozy on Tuesday during The Women’s Media Center 2012 Women’s Media Awards in New York.

“They just seemed so happy and in love,” an onlooker tells PEOPLE. “They were together the whole night. They were inseparable.”

Hathaway’s parents accompanied the couple to the event, which honored news icon Pat Mitchell, sisters Lisa and Laura Ling and Time Inc. Editorial Director Martha Nelson.

The Les Mis actress and her actor-jewelry designer husband tied the knot in late September in scenic Big Sur on the California coast.

– K.C. Baker