Your device is certainly a dichotomy in terms of typical DVR functions and the ability to re-produce content on removable media. Still, most DVRs encrypt the contents they save, so accessing the files directly won't provide viewable content. Your device likely takes care of that on-board for playback and recording.
Unfortunately, I don't see a means to network-enable it. If I, or anyone else, think of something, it will get posted here.
Have a good day!