You can find this challenge in the TopGear Stig 1-1 Showcase category from the Career menu.
I am unsure of the level required to unlock it, but I completed when on Driver level 14, so not too far into the game.
For an easy Achievement, you can dial back the Drivatar skill level to New Racer, quickly overtake him on the first corner and complete the race without any real threat.
Achievement unlocks after you have completed the race and receive credits.