You can have exceptions but the usual sequence when one goes broody is that she lays eggs for a while, sometimes for weeks, sometimes months. Many never go broody no matter how many eggs she lays. Some don't go broody their first laying season but will their second. I'll repeat for emphasis, many never go broody regardless of breed or eggs laid.
As I said, there are exceptions. Some people on this forum have said their pullets went broody at a very young age, even when they had first started laying. This is extremely rare. It is not normal but with living animals you can never say never.
At some point the hormones that make her broody kick in. She stops laying and stays on the nest most of the day and all night. They store up extra fat before they go broody. That fat is what they mostly live off of so they can stay on the nest taking care of the eggs instead of having to go out looking for food and water.
My test of whether a hen is truly broody is that she has to spend two consecutive nights on the nest. One night is not enough, it has to be two consecutive nights. What she does during the day is not definitive. There are several signs that she might possibly be going broody but those are just possibilities. For me it has to be two consecutive nights for her to deserve eggs to hatch.
What I expect is that a lot of hens will never go broody. Ever. A few might go broody fairly late in their first year of laying but most that do eventually go broody wait until their second year or later.
What breeds do you have? Some breeds are likely to never go broody, though there can be an exception. Some breeds seem to go broody often, but that does not mean every hen of that breed ever will. Still if we know what breeds you have we can help you with what might possibly happen.