I had bypass 21 months ago, but the principle is the same. I can definitely eat like a normal person, just smaller portions. Mind you, I have dramatically altered the eating habits that made me obese in the first place. I now am very careful to avoid carbs, fat and sugar. (I can eat all of those things without any ill effects, which surprised me.).
One of my biggest reservations was having dinner with friends after surgery. At this point, I can order off the menu and eat a healthy dinner without anyone being able to tell that I've had surgery (although I don't usually finish my meal or order dessert).
In short: yes, I can eat like a "normal" person.