If, after the list of files, X Terminal showed a command prompt ("$") and sat waiting for you to type another command, then all the files were successfully extracted from the archive. It sounds as though that's what happened.

Most Linux command line tools don't put any effort into telling you when they succeed in a task. If they don't tell you something went wrong, then everything went right.

If you provide some information on what this .tgz is supposed to contain and where you got it (a link to a web site would be handy) then someone may be able to help you.

If it's the Search tool in the Utilities menu of your tablet that can't find it, that's probably normal. I've not actually used that tool, but I expect it only looks at the files and directories in "/home/user/MyDocs". The folks who designed the tablets tried to make them user friendly by hiding everything outside "MyDocs".