Final answer:
The first school for higher learning in the Greek Classical period was the Academy of Athens, founded by Plato. It was renowned for its intellectual prestige and was followed by Aristotle's foundation of the Lyceum. The correct option is A.
Step-by-step explanation:
The first school for higher learning established during the Greek Classical period was the Academy of Athens.
Founded by the philosopher Plato, the Academy was an influential center of education, attracting philosophers from across the Greek world and was a symbol of intellectual prestige.
Plato's most prominent student, Aristotle, would later found his own school, the Lyceum, but it was Plato's Academy that held the distinction of being the earliest organized institution for higher learning in the Western world. The correct option is A.