There is no evidence of any particular awards ever received by Galileo Galilei. His work as a scientist earned him a teaching position at the University of Padua, one of the most prestigious universities of his time.
Galileo was well known in his own day for his work in mathematics, physics, engineering and natural philosophy. He authored several books on motion and mechanics, but it was his work in astronomy that was to be the source of his ultimate fame. Though controversial at the time, his work confirming the heliocentric nature of the solar system is widely regarded as seminal. He is considered by many to be the originator of the modern scientific method.