This functionality is imminent! In the meantime, screenshot your workout and save it to your phone. Or old-school memorize it!
To download your ride to VeloPro (post-ride), we recommend that you set up a Strava account, connect it, and your completed workouts will be pushed directly to VeloPro after each ride. If you don't want to publicize your rides, set your account to Private.
Alternately you can download your ride data to your computer (post-ride) and then upload to VeloPro through your dashboard Activities<Upload Files.