I can see it plainly in the Admin panel, but as a user, it's non-existent. There's no "Download" button
Because you have not provided it.
This is a basic html issue rather than a WordPress issue. Some light reading might be in order. Let's say the file you uploaded is named test.doc. We will also assume that your file has been uploaded to a folder on your blog named "publicdocs", but it can be anywhere you want. Go to your private page and create a list of available publicdocs using any verbage you like. Edit the page you want it to appear on using an ordered list, unordered list, any format you choose. Here is an simple example of your post:
New form available! Download test.doc here!
Now format the word "here", as a hyperlink. Just highlight it in the visual editor, if you are using it, and click on "link". Now enter the actual address at which the "test.doc" file resides.
The end result should look like this:
New form available! Download test.doc <a href="http://www.yourdomain.com/publicdocs/test.doc">here</a>!
No mystery. Just basics.It won't all be point and click with buttons and sliders.