It's about a girl named Hikari Kamijou who dreams of becoming a national rhythmic gymnastics champion. 
Hikari no Densetsu is primarily a love story that it is set in the late 80s junior high school atmosphere. The plot revolves around four characters and how they work to achieve their dreams. Hikari Kamijou, a young, na&iuml;ve, care-free, young woman who dreams of becoming an Olympic Champion in the sport of rhythmic gymnastics ever since she witnessed a performance of the young Diliana Georgieva (a champion Bulgarian rhythmic gymnast). And while she performs poorly and is not very confidant in her skills as a rhythmic gymnast, she is very passionate about the sport and shows occasional brilliance during her performances. 
From Wikipedia

Hikari, is a young school girl who dreams of becoming a great champion in the sport of rhythmic gymnastics like her idol, Diliana Gueorguiva. She works hard despite all her setbacks while performing and soon becomes a member of the rhythmic gymnastics team in her school with the help and support of Takaaki Oiishi, the best male gymnast of her school, and soon she develops feelings for him. But Hikari is not the only one who has feelings for Oiishi, Bazuki Shiina, the best gymast in the entire school also has feelings for him Oiishi. And soon a friendship between Hikari and Shiina develop, but also a rivalry between two soon develop as well for the sport and for the love of Oiishi. Hikari is also torned between her feelings for Oiishi and her conflicting feelings for Mao Natsukawa, an old childhood friend of hers, and the lead singer of the band called Mr. D, who composes the music she uses while performing. And who has been developing feelings for her since childhood.
 
(Source: Anime News Network)

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