A somewhat simplified answer.
When both elevons goesgo up, they will push the back of the plane down. This makes the nose start to point upwards, or, as we say, the plane pitches up. This incresesincreases lift, and so the plane goes up. So the sequencysequence really is: elevons up --> back enend pushed down = pitch up --> increased lift --> increasing height.
If one elevon goes up, and one down: the one going up will create a pressure downwards, the one going down will create a pressure upwards --> roll towards the elevenelevon going up.