Thank you for sharing the screenshot. As per the description, when you are giving the print command, its printing the whole page along with URL, menu-bar etc.
I see what's happening in your case. The PDF document is opened on Document Cloud web, and when you are giving Ctrl+P (print) command then its printing the entire web page not just the PDF page.
This might looks a bit lengthy process, but this is how its going to work.
Hope this helps.
It is ridiculous that you have to save the file to your device in order to print it!