Once logged in you’ll see an iTunes-esque interface with suggested music and so on, as seen below, with a toolbar off to the right hand side.
There, you’ll find a subsection of the “Actions” menu labeled “Upload (Drag & drop here)” and “Upload (Select Music)”.
Once the upload process has started, you can click on the button again to view the progress of the upload.
The music is immediately accessible too (no scanning or analysis required). We issued the command “Alexa, play the Doozer Knitting Song” immediately after the upload process was complete and the song spun up, complete with a matching confirmation card in our alexa.amazon.com dashboard: