I think it is quite difficult that Google would simply hire you and assign you a job because in that essence, it simply takes out your motivation by not letting

I think it is quite difficult that Google would simply hire you and assign you a job because in that essence, it simply takes out your motivation by not letting you be able to choose on which project(s) which you should be able to contribute significantly. Perhaps the best way I can think of is to work/hack/do something to get noticed on a Google product which you are very interested into. The quality of your work afterwards would speak out whether Google would be interested enough to speak with you on the possibilities of working for them. Good luck.