What is meant by the phrase Conquered Greece conquered its uncultured conqueror and brought the arts to Rome?

What is meant by the phrase Conquered Greece conquered its uncultured conqueror and brought the arts to Rome?
After the Romans conquered Greece Hellenistic culture flooded Rome. The wealthy equestrian families usually had their sons tutored by Greek slave teachers in rhetoric, math and Homer's Iliad and Odyssey and other Greek stories. The equestrian families soon learned Greek as a second language. The Influence did not end their however. Roman playwrights where heavily influenced by the Greek counter parts such as Menander. Roman architecture was also massively impacted by Greece. Greek philosophy and science also flooded into Rome like the stoics, epicureans and the skeptics. Hellenistic religious cults also emerged and Greek deities were converted into Roman deities with traditional Roman cult names like Minerva and Mars.
The Greeks had influence the Romans in art, architecture, education, language, drama, philosophy and even religion.