No man there is no way that naruto will get the sharingan, I mean there is no way that kishi would do that and that is for 2 reasons:
1) a sharingan vs the EMS is useless.
2) naruto can't perfect the usage of the sharingan more than sasuke did.
I have three theories about itachi's gift to naruto:
1) I think that itachi gave naruto the power to turn off the black flames of amaterasu.
2) I think that itachi knew about all of the sage of the six paths stuff and he knew about naruto's blood which is a distant relative to the senju so he gave him some of his uchiha powers so he can have the power of the senju and the uchiha in one man and awaken the rennigan under the conditions of fighting sasuke, and that is what I think that uchiha madara did to nagato he may have given him some of his blood or chakra as a child.
3) My last theory which is the least possible is that itachi didn't give naruto his powers it might be just like the fourth did to store some of his chakra in naruto to be released under certain conditions like fighting sasuke for example,and its not strange for itachi to do so afterall we saw him do that with sasuke when implanted his amaterasu in sasuke's eyes to kill madara, and the purpose of that that he might want that his chakra will get out of naruto and form as himself and convince sasuke to go back to the good side and forget about his revenge.