دو ماه به میزان فارسی می‌خوانده‌ام.
Would the Farsi sentence above be the correct translation to this English sentence:"I have been studying Farsi for two months."

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من به مدت دو ماه فارسی می خوانده ام.

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دو ماه است که دارم فارسی می خوانم.

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.برای دو ماه دارم فارسی میخوانم.
It shows you started reading two months ago and are continuously reading from that time up to now.
I Have+Been+ doing = دارم انجام میدهم 
Have been going to school = دارم میروم به مدرسه
Have been reading this book =  دارم این کتاب را میخوانم

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من دو ماه زبان فارسی خواندم