It is the Year of a Million Dreams, special dream cast members at DL will hand out special surprises throughout the day. They are random and you never know when they are going to happen. These "dreams" can be anything from special Mickey Mouse Ears to a stay in the new Disneyland Suite atop Pirates of the Caribbean. The most prevalent "dream" seems to be a days worth of fastpasses for all of the major rides in both parks.
There's a lanyard with pins too that I've seen a lot of people have.
Last year (at WDW) my DH, my mom, and my little sister went to the Flower and Garden Festival at Epcot. We went into one of the places and my sister was dreamed. She was the Flower Princess of the Day or something like that. She got a little bag of fun toys and her picture with a pumpkin shaped like Mickey's head! Of course...then they let me get my picture taken and gave me some of the little bug finger puppets too!
Then on another trip...again at Epcot...I was being goofy and tried on the Moose ears hat in the Canada Pavilion. The guy working there gave me one of the Dream Certificates bringing me into the Mickey Moose Club.
There's just a bunch of fun little extras that they do.