When it came to religion, they adopted Greek deities and gave them Roman names. Zues became Jupiter, Hades became Pluto, Aphrodite became Venus etc.
Roman architecture imitated the Greek. They borrowed elements from the Doric, Ionic, and Corinthian orders to create two Roman orders Tuscan and Composite.
Roman artists copied Greek statues and created their own celebrating Roman accomplishments.
Virgil modeled his work, the Aeneid, after the Greek epic Homer’s