It's quite possible some private enterprises will never return to "old normal." I know many employers will be permanently integrating more remote workforce. Zoom conferences instead of conference rooms will be more normal.
But in terms of consumer businesses... restaurants, theaters, it is doubtful they would keep many restrictions longer than are mandated/CDC recommended. Sure, a poorly ventilated Broadway theater might continue to require masks. (which could also be included as part of the union agreement with the performers).
But by July, I think a New Yorker will be able to walk into just about any restaurant, gallery, store, museum, just as "normal."