This depends on what you consider as ‘freedom’. But one thing I got to know from the reviews online is that in AIIMS Patna there are not many restrictions for the students.
Lastly, first-year students are not allowed to fool around as couples holding hands and spending time publicly. The most important thing- boys and girls are not allowed in each other’s hostels. You will figure it out once you are not a fresher anymore. You will eventually get accustomed to it.