Sorry, no, it's not possible to playback a route in realtime with Google Street View, as the images can't be loaded quickly enough with current internet speeds.
I realise this feature is only available to premium members, so have a couple of questions before I jump in there...The demo clip shows a route being created, with the street view progressing as each route click is made but is it possible to play the whole route after it's saved and watch it on the streetmap portion of the screen, i.e. bit like a film of the route?
DESKTOP TABLET MOBILE
(no app download required)