@goddreamer0715 A whole lot of what the previous commenter said.
For a personal perspective; I look around at people. I like to know who is where, what they're using, get an idea of how many sets they've done if they're in a space I'd like to use, etc. It's absolutely not judgemental; I'm merely planning my next steps. I operate under the assumption that someone glancing at me is doing the same.
As for recordings or pics... I have this same fear because I am clumsy AF and will (and have) drop a plate on my foot at the worst time. If I notice someone has their phone out and pointed anywhere other than at the ground (like they're timing a rest or logging the weight they just did), I take a bit of a walk about in my rest time to be out of any potential frame. I don't expect people are going to be recording me doing my thing however, and the gym I go to doesn't generally have people doing more than the obvious mirror selfie for before/during/after comparisons.
Go a couple of times and just hit up whatever is free--treadmill, cable machines, stretching space. Once you have an idea of who is around at what times and actually see that most people are just focused on what they're doing and where they're going next, you'll get more comfortable.
It takes time--but, honestly? The chemicals that start pumping when I key in and get hit with that smell and hear the noises of people racking weights and taking seconds off their miles? Absolutely ends up being the motivator I need on low energy days.
edit: formatting