I have reading glasses with only uv coating and when I’m in front of the computer screen, people opposite me, can see blue glares of my screen on my glasses… might that be it?
No.
Blue light refers to the daylight-esque color temperature (~6000 K) of most modern displays. There is scant scientific evidence to support any claim that blue light is
harmful to the human eyes or any other part of the body.
There
is scientific evidence to support a claim that some people are sensitive to blue light. That's to say, the cool white light, especially during nighttime, might trick your brain into holding off on producing melatonin, the hormone that makes your body ready to sleep at night. It's difficult to stretch that into blue light being "harmful," though, because it doesn't cause any disease or disability, and the fix (if it causes problems for you) is straightforward: avoid/lessen screen use at night, especially the closer you get to bedtime. If you must, use software features like Night Shift (on Apple devices) or f.lux (on Macs and most non-Apple devices).
Unless there's a screen you must look at frequently at night and lacks any software option to mitigate blue light output, you don't need to pay extra money for anti-blue light coatings.