A biography is a detailed description of a person's life. It comprises not only the basic facts about people like education, work, relationships, and death, but also gives an insight into a their life events. It is usually presented in the form of a book.
A resume is a document usually required by companies during job interviews that displays one’s work experience and skills.
In summary a biography is an informal account of someone’s life while a resume is a more formal list of the person’s abilities and experiences relevant to an application for a job.