They mean the same thing. Generally, "hook up" is a synonym for "connect."
In modern U.S. English I would avoid using the phrase "hook up." It has come to mean "meet for the purpose of casual sex." In your phrase, the context is perfectly clear--there isn't any double meaning. But I'd avoid it, anyway. And if someone says that they want to "hook up" with you, evaluate the situation to be sure you know what they mean.
(The almost-forgotten literal meaning has to do with the way electric power is carried into houses. There is literally a hook on the house to carry the weight and strain of the incoming cable. It is "up" near the roof. So, "to connect a house to electricity" is "to hook up the house.")