ok: this is what I found on some random website about the procession:
This curious tradition has French origins from back in the 16th century. The tarasque is a legendary dragon with the head of a lion. The story is similar to the Beauty and the Beast. The lady portrayed on these figures managed to tame the dragon and rides on its back. In Granada the Tarasca is a winged dragon with and a female figure on top. This figure is dressed each year by a different local clothes shop.
(In the photo you may notice that during the summertime they put a sun cover above the streets to provide shade, its really nice to have because it gets hot!)