One of the main reasons we have the custom of giving and receiving presents at Christmas, is to remind us of the presents given to Jesus by the Wise Men: Frankincense, Gold and Myrrh.
Frankincense was a perfume used in Jewish worship and, as a gift, it showed that people would worship Jesus.
Gold was associated with Kings and Christians believe that Jesus is the King of Kings.
Myrrh was a perfume that was put on dead bodies to make them smell nice and, as a gift, it showed that Jesus would suffer and die.