I'm not sure about the closest place, but I know that there is free WI-FI at the Panera and at the McDonald's over by the outlet mall off of Vineland (go under I-4, turn left at Landry's/Lone Star, go past Mary Queen of the Universe and you'll see the Panera's on the right. Continue around the curve just past Dolly Parton's Dixie Stampede and the McD's is on the left.
Have a great time!!