Firstly, is this an Adobe DRM ebook?
What have you downloaded so far?
Do you just have a .acsm file in your downloads directory?
If so, open ADE (digital editions) and drag-drop the file from a running Explorer (or Mac finder) onto ADE.
Also, see ~~~ at bottom of post.
If not, you are on the wrong forum.
If it is a regular .pdf, there is an oddity with Adobe reader that sometimes starts when you open a book, but does not open a window.
In that case, (1) kill any existing AcroRD32.exe processes using task manager, (2) start Adobe Reader, (3) try to open the .pdf file again.
Sometimes the registration of ADE to Windows as the default hander for .acsm and .epub files does not work;
that is what causes the double-click in Explorer to fail; and usually prevents opening from the browser as well.
especially in Windows 8/8.1, and maybe 7;
this appears to be a bug in Windows (for once not a bug in ADE).
Two possible ways round it.
First, try to force it in Explorer
Right-click on a .epub file (and repeat entire sequence for .acsm if necessary)
Select 'open with' if on the list, 'open' if not.
Select 'choose default program'
Select ADE if it is on the list,
If not select 'more options' and navigate to the ADE executable (may be at C:\Program Files\Adobe\Adobe Digital Editions\digitaleditions.exe)
Now .epub/.acsm files should be associated with ADE, and double-clicking should work.
Sometimes, Windows allows you to go through all that, but then refuses to make the association you have asked for.
In that case, the only way I know is to use a third party file association program.