sabe : it "to know" to do something, or to know about a subject .Example: ¿Sabes cocinar ? (
Do you know to cook ? ) or, ¿Te sabes la lección ? ( Do you know the lesson ? ).
conoce: it's to know someone or a place or something. For example: conoces mi pueblo? ( Do you know my village ? or, Conoces a Antonio ? ( Do you know Antonio ? )