As has been mentioned probably millions of times in the last decade, "to google" is synonymous with, "to search the internet for". As long as this remains true, and google search remains free, their monopoly position cannot be challenged. they have the trademark on the shortest sequence of syllables which means "to search the internet for" which means that in the vast majority of cases, when people describe searching the internet for something, they will do so with the word "google".