How to access files on old iMac retrieved HDD?

My wife's old iMac (14 years old) died. I retrieved the hard disk drive. I took the drive to a computer repair shop and ask them to retrieve whatever files they could retrieve. So I have the files from the old Mac but it appears to be time machine files – (but I'm not sure if they are Time Machine files). I have a Mac mini M1 computer with a new monitor for my wife, and I would like to recover the lost files (including old apps, such as "Microsoft Word") and "drag and drop the files from the old (old but now recovered) disk to the new Mac. I've attached a screenshot showing the file and folder names from the retrieved disk.

Maybe it is not possible to get the information I want to retrieve from the old disk.