When acad opens a dwg file it reads the contents of the (database) file and generates graphical elements (lines, circles, text) accordingly.
You could check to see if the information has been saved as metadata by right-clicking, one at a time, on each of a few files, selecting Properties and seeing if there is any information on the Summary and Custom tabs. I doubt that there will be.
You could save each file to the DXF format, open them in a text editor (Wordpad) and search for the info you want but that would take forever even for a few files.
You need to automate that process (in effect if not it fact) and the best place to start would probably be in the
programming forums.