Answer:
Easter is only mentioned once in the King James version of the Bible and it is probably supposed to mean Passover. The Easter egg is not mentioned.
Acts 12:4 And when he had apprehended him, he put him in prison, and delivered him to four quaternions of soldiers to keep him; intending after Easter to bring him forth to the people.
You may want to go to another site to find out about the origins of the Easter egg, but it is not Biblical.
Some Easter sites are (we are not saying these sites have truthful information or that we stand behind the information):
http://www.allaboutjesuschrist.org/easter-origin.htm
http://www.easter-traditions.com/