Your user/Library folder is normally hidden. The tip to show that through the View Options will only show your own user/Library folder.
The Library folder in your backup would remain hidden, unless you choose to show ALL hidden folders.
Do that by pressing Shift-Command-. (That would be Shift-Command-(period or dot).
You will immediately see all your normally hidden files and folders, on all volumes that you are using.
(when you are done looking through those hidden folders, press the same 3 keys a seond time to hide those folders again.)