Munyarryun was born in
Yirrkala, a community in
Arnhem Land,
Northern Territory. She grew up in the Garthalala homeland, and as a young girl she travelled with her family across country to establish the community of Dhalinybuy. She is a
Yolngu woman of the
Wangnurri clan. In 1984, she started working at
National Aboriginal and Islander Skills Development Association (NAISDA) Dance College in
Sydney, and started cultural workshops to bring traditional dance practices to urban students. She also helped establish the Aboriginal & Torres Strait Islander Dance Theatre (AIDT), contributing as a choreographer and tutor. Rarriwuy remarked of her mother: "[she] was dancing at Bangarra when she was pregnant with me and she took me to all the rehearsals and performances after I was born". Munyarryun has continued as the cultural advisor for Bangarra, ensuring that their "performances adhere to the traditional stories and songs of her people". She also worked to establish the Bunggul Djama Arts Alliance, a community-driven initiative to foster Yolngu performance arts and mixed-media projects. The production travelled between Arnhem Land and Mirramu Creative Arts Centre near
Lake George in
Bungendore, NSW. == Theatre ==