To glorify is to praise or honor something or someone to an extreme degree.
If you like someone, you might compliment or praise them, but glorifying takes that a step further. When something is glorified, it is praised to the highest degree possible. It seems right that great people like Martin Luther King and Gandhi are glorified. It can seem odd when athletes are glorified just for playing a game. Often this word is used in a negative sense. For example, a movie with lots of explosions could be said "to glorify violence."