Hi there :)
The word REALLY is used to emphasize some opinion of something, for instance:
- I really love that girl.
- Really, you should study harder to pass your examinations.
While on the other hand, I think REAL it's a simple adjective used in phrases like:
- That dream couldn't be real!
- We're in trouble, this is a real situation.
Hope this helps you.
Greetings ;)