Hi and welcome to the forum
If the disc is readable by your blu-ray player (I assume you are referring to a standalone player), then the disc is fine, so the most probable cause is that your computer drive has some problems, like some dust over the lens. A lens cleaning should solve, but is better avoid using the CD cleaning kits available in the market because these can actually scratch lens, and make things worst. Is better to open the drive and clean lens with isopropyl alcohol (the same used to clean turntable pickup).
Another most probable cause is that the CD is indeed ruined and is not easily readable, so I suggest to try recover all data from that disc as soon as possible and then burn data on another CD.
If your computer drive is not able to retrieve data from that CD, maybe you can ask a friend to try with his/her computer to read the disc