It depends on the nature of the employment. A few occupations (notably in banking) have MANDATORY days off. (Forcing bankers in certain categories of jobs to take vacations is a good way to detect long-term embezzlement schemes.) But there are definitely programming jobs in the United States in which the company says, "You can take time off whenever you like," which in practice means "You can take time off whenever the company isn't in crunch time," which ends up meaning never. Freedom of contract and flexibility in working arrangements is the hallmark of the United States economy and indeed is one of the reasons that the United States is as wealthy as it is--people choose the trade-offs they like among many possibilities.
Also, to save you a few years of surprises, here are some other factoids:
there's minimal healthcare, likely to be canceled by the next president
minimum wage is the equivalent of 5.33 euros and for waiters its only 1.57euros
Payday is not mid month but well after you do the work.
You can be fired at anytime without any waring for any reason from most jobs. Frequently a security guard will escort you out of the building.
But on the upside:
There's a death penalty in 3/5 of the country
The notion that the world is 6000 years old is sometimes taught in school.
You can buy a gun instantly in most states.
We have a per capita GDP almost as high as a northern European country.
We may not be socialist. Well, ok, some people say we are so never mind.