I think you are talking about the character breakfast at Confisco's, which is in the Port of Entry of IOA. Here is the number you'll need:
Confisco Grille®
Food: Grilled sandwiches and burgers, salads, fajitas, Low-Carb menu and full bar
Type: Casual Full Service
Reservations: Accepted. Call Islands of Adventure Reservations at (407)224-4012
Serving: Breakfast, Lunch, and Dinner daily, plus Character Breakfast until 10:30am each Thursday through Sunday.
I've been for a DIS meet once on a Saturday morning. We had one of the last ressies of the morning (after 10) and it was pretty empty then, so all the kids got a lot of time and interaction with the characters. Spidey wasn't the only character; Wolverine, Thing 1 and Thing 2, the Grinch I think -- lots of characters.
The breakfast was a normal buffet. I am not much of a breakfast eater; so I don't really remember. Give me a piece of toast and some fruit and I'm fine, but I do seem to remember them having good french toast. Plenty of food and, of course, all you can eat. I think adults were $17.95 or so + tip? Not sure about kids, but we all got a discount with our APs. If you have
AAA, you may want to inquire about a discount for that.
Have fun.