Hope is something that you want to happen, like your hope to visit Paris this summer, or the feeling that good things will come. If you make it to the final round of a tournament, that gives you hope.
Hope can also be a verb that means "strive for or wish," as in your hope to become a doctor someday. To hope is to want something to happen, but if instead you said that you intend to become a doctor, that suggests becoming a doctor is more of a goal than a dream. Hope, on the other hand, is more emotional. In fact, some scholars believe it's linked in meaning to hop, in that someone who hopes "leaps in expectation."