IMO, doing well in general chemistry does help somewhat in organic. There are a good number of concepts that carry over from gen chem. However, the difference is that the problems in organic are completely different than general chemistry. Like the people above me said, a lot of the problems in general chemistry is balancing and finding out the mole in this particular reaction or something along those lines. Organic chem is indeed a puzzle. Basically, for my final, I had to propose mechanisms to get a certain product, predict products, and figure out some stereochem. (Organic I). I didn't take the second semester.
My grades for gen chem I/II: A/A, First semester of organic: A
Some people say if you are good at one, you are probably going to be bad at the other. Well I had to study well for the gen chem, and I studied harder for orgo.