I think you meant to say that it's "private", but no problem, I just wanted to make sure it was WordPress.com (not WordPress.org).
On your dashboard, in the same place where you created the poll (under Polls), click on the name of the poll. To allow people to enter an answer other than the ones you chose, in the "Save" module (usually on the right), tick the box that says "Allow other answers" and save the changes.
Once people start answering your poll, you'll be able to see the results. Go back to the Polls section, and point your mouse over the name of the poll. You'll see a few options appearing under the name. The last one is called "Results".
Does that answer your questions?