I think everyone's going to be different in this case. I had RNY bypass and I was farty-as-heck up until maybe the first week of transitioning to soft-solids. I think in my case, part of it was recovery and part of it was my body re-stabilizing itself and getting used to new foods.
That said, on days that I have too much sweetener in my system or am trying a new food that doesn't sit as well with me, I certainly get 'windy'. And if there is a single bean in my food, I can guarantee gas.
So it may get better, and it may not. You may need a Gas-X type med, or you may just notice it's worse with certain foods. Either way, everyone poops and everyone farts. XD
(Just look at other people in an accusatory-way afterwards, shift that blame.)