Green Monster. Not a lot of information available on Green Monster Sativa dominant hybrid. Green Monster seems to be grown mostly for personal consumption by connoisseurs. Women have been known to prefer Green Monster Strain for two major reasons, the first being the super sweet smell and the other is the strain’s ability to help with menstrual cramps. It is safe to assume that Green Monster Strain is not a large yielder, or else it would be more readily available on the market. Growing Green Monster Marijuana Has Medical Benefits.