That would be Kurt Vonnegut's "Harrison Bergeron", although your recollection of the ending is cheerier than the actual one.
Stealing from the Wikipedia description:
It is the year 2081. Because of amendments to the Constitution, all Americans are fully equal, meaning that no one is allowed to be smarter, better-looking, or more physically able than anyone else. The Handicapper General's agents enforce the equality laws, forcing citizens to wear "handicaps": a mask if they are too beautiful, radio earphones with shrill noise to disrupt the thinking of intelligent people, and heavy weights to burden the strong or athletic.
After a rumbling noise, the photo on the Bergerons' TV screen is replaced with an image of Harrison himself, who has stormed the studio. In an attempt to overthrow the government and its handicapping systems, he says that he is the emperor, the greatest ruler in history, and that everyone must obey him. Then he rips off all of his handicaps. He says that the first woman brave enough to stand up will be his empress. A ballerina, presumably the one who reads the report, rises to her feet. Harrison removes her handicaps and mask, revealing a blindingly beautiful woman.
He orders the musicians to play, saying he will make them royalty if they do their best. Unhappy with their initial attempt, Harrison conducts, waving a couple of musicians in the air like batons, and sings. They try again and do better. After listening to the music, Harrison and his empress dance. Defying gravity, they move through the air, flying 30 feet (9 m) upward to the ceiling, then, still in the air, they kiss each other.
Diana Moon Glampers, the Handicapper General, comes into the studio and kills Harrison and the empress with a shotgun. Turning the gun on the musicians, she orders them to put their handicaps on in ten seconds, or the same fate will happen to them.
EDIT - Thanks to Dan C for providing the following:
"The ending that Maggick is recalling, with Harrison taking over a radio station and broadcasting things like classical music, is from the Showtime version with Sean Astin"