A disk read error means Steam tried to read a file it needs, for launching, verifying, or updating a game, and the data came back wrong or not at all. One corrupt game file is the benign cause; a drive developing read failures is the serious one. The pattern tells you which: a single game points at its files, every game and other programs too points at the drive.
Steam stores a known-good fingerprint for every game file. A read error during verification means the bytes on disk no longer match, because the file was written badly (interrupted update, crash), overwritten by something else, or the disk surface or flash cells holding it are degrading. Verification fixes the file; only the drive checks answer whether it will keep happening.
Read error vs write error, what is the difference? A write error means Steam could not save new data, usually locks, permissions, or space. A read error means existing data came back damaged. Read errors deserve more respect, because they can indicate the drive itself is failing.
Verification says all files are fine, but the game still errors. Then the file named in the error may belong to Steam's own download staging rather than the game. Clear the download cache (Settings, Downloads) and retry, and if the named path is on a second drive, test with the game moved.