Most likely he will be back somewhere in the summer. "Somewhere", meaning anytime in the summer (so beg., middle, or end). But let's think in terms of context. The next few PPVs will include WHC defending, If he is suspended, connecting the context to the real world, being suspended will only take you out for a little while. So restating the answer, the best, educated guess to your question will be in Summerslam. We have seen in the past that Wrestlemania matches had set up some matches in Summerslam. In fact, I hear that HHH and Sting are going at each other again, maybe in SS.
WWE Script Writers are tricky and unpredictable, but connecting to the past context, to the current context, and perhaps to the real world, you can find the answer to any question you might have to ask us.
Hopefully this answered your question to your expectations.
'The Icon' Sting appeared after RAW! being interrupted by returning Bo Dallas.
As for Brock Lesnar, who knows the focus will be on the midcard titles.
Probably until after the next 2 PPV's when he'll be back in the title hunt, maybe.
I'm not sure about Sting, but he'll probably not be back for a long time.
This wasn't a storyline.
Brock was infuriated.
Stephanie said "indefinitely" so there is no specific time length. a good guess would be Summerslam but who knows? could even be Survivor Series.
Lesnar will probably be back for SummerSlam to get his title rematch vs Rollins. As for Sting, idk what they're doing with him. I still can't believe he had to job to HHH, that was bullshit.
hes probably suspended for a month
well he could show up on Smackdown to take jerry lawler to suplex city. who is gonna stop him? nobody.