In simple terms CDs, and DVDs come in two flavors: R (read only), and RW (read, and write).
RW type are like little hard drives (different type of storage method, but it doesn't matter at this point), you can write files to them, delete them, write new files, and so on.
R type can be written to only once (you can't delete anything). This is where "multiple session" kicks in. In order for R type to be read on any other computer, the writing session has to be closed ("closing disk"). As long as the session is open, you can still add more data to R type media. Some today, some tomorrow, and so on - hence "multiple session".
Now, off to your problem. What exactly happens, when you try to read data from those DVDs?