Normalcy as in like, life before Janaury 2020? I don't think so. There will continue to be travel restrictions, long stays of mandatory quarantine when traveling between countries or regions, and I'd imagine many states in the US will try to pursue voluntary travel restrictions between borders.
So the US has been seeing hundreds of deaths per day over the last few days, and it's going to climb to thousands of deaths per day over the next 2-4 weeks, and then it'll likely begin to drop. But, the reason we'll see this pattern is that you'll see regions like the North East, North West, California, parts of the SOuth East, peak in April, and then start to decline while other areas then "catch up" and have their peaks in ... May or June or whatever.
By the time we get *to where we are right now with people dying per day* it's going to be around June by most projections. By the time we get to where we were in deaths per day of a week ago or 14 days ago, it won't be until July or August. And, if you think about the panic from a 14 days ago and what life was like then -- many of us locked down in the PAc NW or the North East -- it's not exactly comforting.