You're most likely to televise something if you work at a TV station — to televise is to transmit or broadcast on a television.
A high school with a winning basketball team might decide to televise games on a local station so everyone in town can watch them on TV. Judges presiding over trials sometimes allow news channels to televise them, although often they don't. The verb televise grew out of the word television, modeled on verbs like revise and advise. The word television combines tele, "far off" in Greek, and vision, "something seen in the imagination," from a Latin root.