In the US, you can maybe get some time off to hang with the kid. Chances are, though, that you will be left behind in the professional field. If you're a woman and you want to keep your job, you may end up breast pumping during lunch. Here, you have a base insurance that allows you to spend time with your kid with very little negative impact on your job. You take a small hit on salary, but you are guaranteed to keep your job, and are also given the same raises as anyone else at your job while you take the time off.
You don't need to do big chunks of time either. You can take half days, quarter days, two days a week, and as I'm doing, a shitload of time right away.