It's completely fine to get to know your coworkers. But let the oversharing ones (the extroverts) congegrate together naturally. We had someone like that on the team. Was likeable enough but wouldn't stop talking about everything in their life. That was their choice tho and I am fine to listen but I'm not "sharing back".

And then there were introverts. Some that spoke very very little and some that were in the middle. They randomly shared some things from time to time in quieter moments with less people around and when they felt comfortable. Very real people and it was nice to get to know the a bit more.

I'm more on the introvert side there and if you group pressure me into this sort of thing I will remember that for a very very very long time. As in we are never gonna be friends. I'm still sour about what an extrovert HR person did 4 years ago and I don't speak to them any longer. They are also showing from time to time that they haven't changed and they'd be the type to use whatever came out in an oversharing session against you.

Now tell me to "report them to HR".