You'll have to use the Aldiko app for reading, you can enter your ADE user into the app and will also be able to transfer books wirelessly with the Calibre server. See these 2 threads for instructions and Aldiko link. They talk about library books which are drm'd but process is same for purchased books.
https://www.mobileread.com/forums/sho...d.php?t=164044j
https://www.mobileread.com/forums/sho...d.php?t=165373