Are these all same?

Do you ever dream of me?
Do you ever dream about me?
Do you ever see me in your dream?

Question

Are these all same?

Do you ever dream of me?
Do you ever dream about me?
Do you ever see me in your dream?

Answer

The word "dream" can be a noun or a verb. Both the noun and the verb have two different meanings:
1) An aspiration, desire or fantasy (like a daydream). "I have a dream of you and I living happily together" (noun) "I dream of you all day long" (verb). Your first sentence fits in with this meaning of the word "dream". 
2) Thoughts and images that occur when you are asleep. "I had a dream about you last night" (noun) "I dreamed about you last night" (verb). Your second sentence fits in with this meaning of the word "dream".

I think the third sentence would be used to describe a dream in the sense of thoughts and images that occur when you are asleep.