this already exists, it's called temp agency employment. no, the government doesn't run it.
baffles me how little real world experience a lot of you people have. at least every other day on here I see someone spectulate abotu this 'great thing that should exist' and it already does.
also a ton of bigger public libraries offer these types of services/classes for free. including basic computer job skills and such...
but you'd have to actually... look it up and leave your house to do any of this.