I discovered "near effortless peddling" while trying to go really fast. I found I could pedel faster if I sat up real strieght and leaned forward w/ my whole body and uni and pedel w/ my feet on the pedels very lightly.
Yep, just keep all your weight on the seat, pretty soon, when your not even think about pedalling, one day, you will and notice "Hey, its like I am not even pedalling, it feels like the uni is moving my legs and I'm just enjoying the ride."
That's how it should feel, very relaxed and smooth, just keep the weight on the seat, and you'll do fine.