Specifically? I would expect it not to commit genocide. Not murder men, women, children, infants in their mothers womb simply because some would-be worshipers looked in an ark or because an honest agriculturalist refused to give his produce to Israelite soldiers, depriving his own people.
I would expect such a being not be so murderous and immoral as to send two bears to kill a few kids teasing a passer-by.
I'd expect such a god to actually have a moral code which he would share with his people instead of the largely useless and uninspired "10 commandments," only a few of which have anything to say about morality.
But these expectations, while specific, really are just hypothetical since the god mentioned in the bible was created by man in man's own image, this much is clear.