The next time you look at a painting, consider how the painter used artistic elements and principles to create his or her composition. Knowing how to analyze a work of art adds to the enjoyment and appreciation of viewing something that started as nothing and turned into an artistic expression.
Whether or not you like a particular work of art is a matter of individual taste. No one's opinion is really any more important than the next person. However, being able to intellectually critique a work of art brings a whole new perspective. As with anything in life, appreciating it's depth enables understanding, provides inspiration, and creates vision.