This phrase means to socially isolate someone as a form of punishment without any physical actions. She spread rumors, so the class sent her to Coventry.
Pro Tip 2/3
British Origin
The phrase is uniquely British, from a historical event during the English Civil War. The new student didn't understand when he was sent to Coventry, since he grew up in Canada.
Pro Tip 3/3
Silent Treatment
It's an informal way to refer to the act of giving someone the silent treatment. After the argument, Lara sent her boyfriend to Coventry.