Yes, Robert Pattinson who played Edward in Twilight will be playing him in New Moon as well. They're filming New Moon right now, and you can probably find some on-set pictures online that show Robert or even check out imdb.com and you'll see he's still casted as the role for Edward
Why is everyone so obbessed with Robert Pattinson. He is, after all, just a person. And if you think about it he isn't that awesome looking. Just decent.