Most of the time when we use the word "special" in English it means "having a unique or superior quality," "Tonight I will fix you a special dinner for your birthday."

what the others said is correct, but i'll just add this, too... Often when people say "special" it has a very positive connotation, unless they are using it sarcastically. "Different" is more neutral.

Different 1.Differing from all others; not ordinary 2.Distinct or separate While special 1.Unique or specific to a person or thing or category 2.Surpassing what is common or usual or expected cowboy... .