Do public bus pass close by. Or the train. Would like to travel to Navy pier.

Take the hotel shuttle to the Blue Line stop at O'Hare. The Blue Line will take you downtown. From there, you have a variety of transportation options.

I used my car, but you can take the train from Ohare Airport to Navy Pier/Museum if that helps.

I did that while i was there...one train took me all the way downtown near museum...one more train or bus...unless you walk long distances to get to pier 1.5 hour safe commute

No idea, I used my own car, best bet is call hotel and ask them