I have a repository layer that is responsible for my data-access, which is called by a service layer. The service layer returns DTOs which are serialized and sent over the w
Short answer: No.
Long answer: repository is responsible for turning persisted data back to entities (models) and vice versa.
Model is a business Model representing a business entity. DTO on the other hand - while looks like Model - is concerned with transfer of the object between various environment and in essence is a transient object. Usually mappers are responsible for turning model into DTO.