To dream that you are wrapping a gift,suggests that you may be trying to express some feeling or have something awkward to say that has to be carefully packaged.
Christian Dream Symbols
The Complete Dream Book
Islamic Dream Interpretation
A wrapping in a dream also may represent a dullish or a simple-minded child. (Also see Wrap up; Wrap)... Islamic Dream Interpretation
My Dream Interpretation
The Language of Dreams
What is the paper covering? This may represent portions of yourself that you have hidden, suppressed, or concealed for whatever reasons.
If the paper is being removed in your dream, then you are likewise opening up those aspects for closer examination and eventual integration.... The Language of Dreams