I have that set - and it’s fantastic. It comes with instructions to integrate a motor into the mechanism to bring the roller coaster cars to the top of the first hill.

Gravity does the rest - the cars aren’t powered.

There is no LEGO-branded BlueTooth controller for Power Functions. Only infrared. (Some third party controllers exists though).

However LEGO Power Functions is replaced by LEGO Powered Up which is BlueTooth controlled. The same system controls products branded LEGO Technic, LEGO Boost, LEGO Ideas, LEGO Robot Inventor...