This is a creative writing activity which can accompany a unit related to Greek myths, Frankenstein, Dracula, Gilgamesh, Native American tales, or any number of monster related units. The idea is to have students re-imagine a monster of their choice from a first person point of view. They will research their monster, learn about its story and the historical associations of their creature, and then they will compose a tale based on what they learned and using their own creativity.
I often read excerpts from other tales--such as Isaac Marion's "Warm Bodies", Chapter Five, from "Frankenstein", and other first person POV works. I also left the design of the rubric for you--as teachers my want to focus on different aspects of this project.
I always do peer readings too-- to teach that aspect of the creative writing exercise.
The key is to learn about researching for a story, developing a voice, and executing a creative piece, that enhances your monster's world and experience.