Here is the information from the website on the character breakfast:
Dont Miss the Character Breakfast at Islands Of Adventure!
Breakfast is not just the most important meal of the day now its the most fun!
Bring the whole family and enjoy breakfast with special animated characters and appearances at Islands of Adventure's Confisco Grille®, each Thursday through Sunday morning from 9:00 a.m. to 10:30 a.m.
The breakfast is $15.95 for Adults and $9.95 for children, plus tax and gratuity. Call 407-224-4012 for reservations.
The characters can be found just about anywhere at both parks. At IOA, they are everywhere at Seuss Landing and there's character greeting at Marvel Island. At the Studios, they usually wander but can be found near the KidZone, Shrek, the Lucy Tribute and on Hollywood Blvd.