I would give the nexus to the woman of my dreams and call her from my nexus. Her name is Lennie, and she is amazing because she says it like it is! She is smoking hot too.....
If i win this phone i would let my nephew use all of the credits to call his mom and little sister who both moved to mexico so she could marry her fiance. He rarely gets to talk to her and i know he would love it.
If I were chosen for the winner I would be calling my sister and brother in law in Germany to let them bear their new neice scream at night! They don't know what they are missing!!
The first people I would call would be Sprint to have the phone transferred to their service (and stick it to Verizon for pissing all of the Galaxy Nexus fans who were stuck waiting for them).
Then I'd call all the people I know to let them know I actually won a contest.