Basic services would be restored almost immediately. There would be disruptions obviously but the scale would be so reduced that the problems would be things like power outages and areas where people just stopped delivering things like groceries or fuel. People in those areas would have to move or deal.
Looting would be rampant. You'd be able to police it a little, but what are you going to do about it? Call the police? Shoot someone who's looting the ownerless house down the street?
The economy would change overnight, obviously. Property ownership would be tentative at best, at least until government was restored. Financial markets would be devastated. Currency would be a nightmare of volatility. Perishable foods would be cheap for a little while until the reserves were burnt through and then it would come down to how well they could be replenished. If we're talking about a post nuclear world or zombie apocalypse as opposed to a thanos snap,
Fuel would be a big deal. It's easy to get gas for your car if there are trucks refilling your local gas station but if not you could get stranded. And with all the newly empty housing that's closer to major pipelines and refineries, prices would get higher and higher for people further away.
A lot of people would need to change jobs. Sanitation would be an urgent need with two dead bodies for every living person. It would be nice to imagine everyone getting proper burials but that's logistically impossible.
And of course morale would be horrible. On top of the disruptions to their lives, and everyone mourning the dead, everyone would live in near constant fear of getting robbed, murdered or raped. Police would be at a premium but would be so overstretched that a lot of crimes would simply be impossible to prevent.
I would guess about a year before things stabilized at all, but early government would be by force, not any sense of justice, as bullies force their way and people decide it's easier to follow. Democratic elections wouldn't be possible right away and wouldn't be fair when they were enacted but eventually people would settle on a level of government they could handle.
Education would be badly disrupted. Public schools might open at the whim of the teachers and parents in the community but how comfortable would you be leaving your kid there? Colleges and universities would be devastated and a generation would learn from the school of hard knocks instead of at schools, but the internet and libraries would preserve enough of what we know today that it wouldn't be that bad.
I suspect that it would be difficult, but not the post apocalyptic doomsday stuff you see in The Road/ mad max/ Book of Eli/ snowpiercer/ choose your favorite movie or book in the genre.