Dumb Questioin but Whats it called?
 

whats the hose called connected to the engine right at the top next to the Engine Oil cap,.

That's the crank case ventilation hose.

and if its anything like mine it won't come off easy without cutting it

thanks guys, if the hose is being squeezed will it overheat my engine??

No it's used to let blowby gasses and condensation out of the crank case. If it's being subtly squeezed it's fine if it's being compressed to the point where airflow is being restricted it's bad.