Olivia's first appearance on French television happened in May 1971 when she was promoting her first proper single, If not for you. This song is a George Harrison cover, which itself is a Bob Dylan cover ( in other words : she covered Harrison's version of Dylan's song. No, that's not confusing :D )
Le Grand Amphi was a monthly variety show hosted by Jacques Chancel on what was then the second color tv station in France. Notice how he refers to her as "Olivia Newton" once she's done with her performance.
She seems to be pretty at ease doing her routine, standing on a suspended platform that doesn't look the safest to me.
This is an outdoors performance of If not for you filmed at the Festival de la Rose d'Or in Antibes (FR) in 1971. This is where the Don't move away performance with Cliff Richard was filmed as well. There's a 6 seconds default at the beginning of the song, but this comes straight from the tv station's master, there's no repair I can do about it :(