No, staring at a screen won’t damage your eyes
I’m here to quell your health concerns: staring at a screen doesn’t damage your eyes. They won’t make you go blind, and your doctor isn’t going to worry about your health if he or she hears that you’re spending a lot of time in front of them. However, you might feel uncomfortable after a long time in front of a backlight, and you might even experience the symptoms of Computer Vision Syndrome, a fancy name for the eye strain and discomfort monitors can cause.
You could try adjusting your entire monitor and desk setup to remedy your pain, or you could use moistening eyedrops. The 20-20-20 rule also exists, which dictates that after 20 minutes of screen staring, you should stare at something 20 feet away for 20 seconds. Take a break. Those...