Final answer:
Andrew Luck is the Stanford quarterback who was a Heisman Trophy runner-up in both 2010 and 2011 before being drafted first overall by the Indianapolis Colts in 2012.
Step-by-step explanation:
The Stanford quarterback who was the Heisman Trophy runner-up in 2010 and 2011 is Andrew Luck. He had an illustrious career at Stanford University and was widely recognized for his talents on the football field. Despite his impressive performances, Luck finished second in the Heisman voting in both 2010 and 2011, with the award going to other standout college athletes in those years. After his college career, Andrew Luck was selected as the first overall pick in the 2012 NFL Draft by the Indianapolis Colts.