I thought the saying was “infinite monkeys..” and in that case you would get the full works of Shakespeare immediately. With an infinite amount of time and one monkey you’d get the full works of Shakespeare in every language supported by the typewriter any number of times in a row you wished. In fact, you’d get anything you wanted as long as the probability was > 0

Edit: after walking my dogs, isn’t the probability of the full works of Shakespeare never being typed out also > 0? (I can’t believe I’m actually spending calories on this..)