Complex sentence: She is best known as the central protagonist of the award-winning LGBT web series "Out With Dad", for which she has won multiple awards, including two Indie Series awards and two Los Angeles Web Series Festival awards.
Split into simpler sentences: She is best known as the central protagonist of the award-winning LGBT web series Out With Dad. Since the series premiered, she has been nominated for various awards, winning several, including two Indie Series awards and two Los Angeles Web Series Festival awards.