Yep, monopods still require steadying technique: they just make it a whole lot easier. Try not to think of it as forcing the camera to be still: if you're getting undue horizontal motion, odds are you're being too stiff. (If you're tense or jamming the shutter button, that motion has to go somewhere.)
Think soft and steady hands.
Also, without the monopod on the camera, find your steadiest stance and hold: then bring your eye down to meet that, rather than standing stock still with your neck straight and trying to bring camera up to eye. Once you find that, you can more or less put a monopod *under* that height, and be in the neighborhood.
Oh, also, both hands on camera and lens, still, if that wasn't obvious. Sometimes people want to hold onto the nice cushy grip that comes on monopods these days, that's not what that's generally for, though.