That's the Pocket eDGe, and I imagine the e-ink screen is roughly the same size as your 505.
I do transfer books from ADE. Also from Calibre. Do you hook up your 505 to a computer with a USB cable? If so, it's pretty much the same process. There's a Sony Reader app for the Android side, but I haven't tried it and don't know whether it would allow you to easily grab all the books in your Sony Library. But ADE has a decent interface. The eDGe shows up there as a drive, just like your 505 probably does, so you can drag and drop books.
