They are similar, but cure is way it is taken and the problem, the disease, is fixed or even gone. Whereas, therapy is fixing the same type of the problem in increments, or sequentially.

Not the same. Cure is a final solution to an ailment, and therapy is the process of curing an ailment. For example, if you lose the use of your legs, there not be a cure that will ever give you back your former ability. However, therapy may be able to help you live a normal life by slowly training you to deal with your current ability.