An obvious and good question: "How DO I check a disc?"
There are two different aspect to this, checking the audio to be sure that the data was transferred properly to the media, and that all the metadata is in place
checking the data retrieval from the media after writing.
The first needs to be done by listening and checking the navigation of the disc.
The latter needs to be done using a CD reader that has firmware hooks that allow software to monitor and report on the error detection and correction and the success thereof. The simplest solution is something like the Plextor suite of tools that work with some of the Plextor optical burners