The daughter of Zeus and Demeter, who was abducted by Hades and forced to be his wife. She ate 6 pomegranate seeds, so 6 months ever year she is in the Underworld, and the other half with her mother.
As Demeter's daughter she is a Goddess of nature and life. As Hades' wife and Queen she is the Goddess of the Dead and the Underworld.
Persephone spends her time either on Earth with her mother Demeter and father Zeus, or with her husband Hades in the Underworld.
She is older than time.
Yes she is an Olympian Goddess/God