The files are meant to be opened in D&D 5e Statblock Generator. You will most likely only encounter MONSTER files if you enjoy playing D&D and use D&D 5e Statblock Generator to create and import monster information.
MONSTER file open in Tetra-cube D&D 5e Statblock Generator MONSTER files include all the attributes for the monster, such as the name, size, type, speed, armor, strength, and abilities. It stores information in plain text in a JSON-like attribute-value format. A MONSTER file contains information about a monster created with D&D 5e Statblock Generator, a web program used to generate stats (statblocks) for monsters used in Dungeons & Dragons (D&D) play.