According to the film's official novelisation, she did indeed sense the destruction of the Hosnian System
He looked to his right, suddenly alarmed, as Leia swayed where she was standing. “General, are you all right?”
Leaning against a console for support, she steadied herself. “A great disturbance—in the Force. Deaths and passings. Too much death, too many passings.”
Straightening, her expression grim, she walked over to confront the wiry, slight Admiral Statura. Despite his experience in battle, he was left as shaken by the revelation as anyone else in the room. What had just happened could scarcely be comprehended.