Everyone is different in their ability to tolerate coffee. I had the surgery in 2009, and have a very reactive stomach. I hadn't had much coffee for years, because it really bothered me. I'd switched to mostly tea, which is weaker and just doesn't bother me.
After surgery I was planning on taking up my coffee habit again, but it still bothers my stomach if I drink much of it. My stomach is very picky, and the surgery hasn't changed that. The reflux is gone, but my grouchy stomach still complains if I am not careful.
I do drink coffee, but not in any quantity. I try to save my coffee for places where it is truly good. I have it with dessert, or if I'm at a restaurant that has wonderful coffee.
Hope you'll be drinking it with abandon once your healing is well on its way. You'll know if it bothers you quite soon after you resume your coffee drinking habit. Hopefully you'll do just fine with it!