As others have said easily doable, plan the route you need to take, take breaks every so often if you deem it fit, if only to stretch your legs.
One thing to bare in mind with 125's is they are smaller physically (compared to more powerful bikes) so cross winds can make the journey a chore, so if you know the route you would be going try to avoid long stretches of roads open to cross winds. Can't always avoid them but if you can plan around the most it will make the journey more enjoyable.
Don't overly worry about only having 2 hours on a bike so far, confidence only comes with riding, so if you can, get yourself out and about on the bike as much as you can.
What i would personally do with a journey that long would be to split it up into say 3, ride to stop A then take a 5/10 min break, then on to stop B and repeat, then again at stop C, this would allow enough bathroom breaks enough time to stretch if needed and time to regain concentration if that was to dwindle.