Transferred library to new computer. Photos are in library, but folders are not

What is your OS? Version?

Second up, I would think of this as Buggy behavor, and perhaps a preferences file reset is called for.

Following is my boilker plate for reset preferences file

Sounds like a canadate for resetting the preference file. Resetting the preference file is Adobe speak for deleating the preference file and then letting Lightroom Classic to recreate it.
 
The preference file can get corrupted, resulting in odd behavior. Some people have a knee jerk reaction in thinking they need to uninstall then reinstall Lightroom Classic, maybe that could be called for, but it would be better to first reset the preference file.
 
Be aware that resetting the preference file will result in Lightroom Classic creating a new catalog instead if opening your previously opened catalog (normally) so make sure you know where your catalog is. 
 
Be aware the resetting the preference file will revert some settings in Preferences to defaults. So be aware of what you have changed, so that you can put those back the way you want them.
 
some links:
 
https://lightroomers.com/replacing-the-lightroom-preference-file/745/
 
https://www.youtube.com/watch?v=bARt-hoCc2Q
 
https://helpx.adobe.com/lightroom-classic/help/setting-preferences-lightroom.html
 
https://helpx.adobe.com/lightroom-classic/kb/recover-catalog-images-resetting-lightroom.html
 

First up, in your screenshot, the Filter Folders box seems abnormaly promonant. Mine is more subdued. DO you have a folder filter appied? IF you clcik on that Magnifying glass, are you filtering on a particular folder? As opposed to all?

Mind you, the empty folders below should then minimize.

Is my problem unique? Anyone have any new ideas? 

You said your original files were missing it. You mean there are?'s on the thumbnails that you see? Or are there no thumbnail images ?

First there is no Library that you can transfer. There is the LR Classic Catalog file. But that is just a database file and your images are Not in the catalog.

Have you copied over all your images from where they are/were stored on the old computer (I suspect you are setting up a new or newer computer)?

You have to do that and it seems that you had many internal or external drive connected to your previous computer. If they are external drive then all of them need to connected to your new computer.

What you are seeing in the Library Module Grid view are Previews of the real images and Not the Real images.

In the Library Module, right-click on a photo in the grid and select "Go to Folder in Library". This should select the folder where Lightroom thinks the photos is located.