It’s pretty much the same once you get used to it. For the most part, road signs, dividers, traffic flow, signals etc. will prompt you to stay on the correct side and you’ll get used to it pretty quickly. I’d say a couple of days to get used to it, and a couple of weeks to keep any prior conditioning from kicking in (which will happen for the first couple of weeks, but then your brain will actively override any conditioning).
A few things to get used to:
When I first switched from driving on the left to driving on the right, it took me a couple of days to not want to turn into the wrong side of the road when turning right or left at a stop sign. My conditioned brain kept wanting me to turn into the oncoming lane.
My left hand would hit the inside of the door when my conditioned brain would attempt to grab the stick shift. Oops, it’s on the right hand now. This takes a few days too, and for the most part you’re fine, except in those moments when your conditioned reflex kicks in first.
You tend to stick to the right hand side of the lane (instead of center), because all your life you’ve been calibrating with the curb on your left side. With a conscious effort to stay closer to the left or center of the lane, you get better in a few days.
Reversing. This one is not immediately obvious, but you have to turn the other way to look behind now. And I do more than just a casual turn of the head (almost a body twist, looking behind when reversing), so this took a couple weeks to get comfortable with.
Dexterity. I spent most of my life driving on the left, so my left hand has mastered the gear shift, and my right hand has mastered single-handed steering. Now, with a left-hand drive, the hands are switched. Under normal road conditions, this makes no difference. However, I’m kind of a race driver, so under race conditions, it takes a lot of practice and conditioning to reach the same level of skill.
Interesting side-effect of the switch: When driving, I’ve usually had one hand on the wheel and one on the gearshift (I’ve driven stick most of my life, and the roads I drove required constant shifting). So now, when driving with a left-hand drive and cruising down the highway, my right hand tends to remain on the wheel while my left hand stays down (like I’m used to doing on a right-hand drive, except now there’s no gearshift for my left hand to rest on). I’ve tried to re-condition it to have my left-hand on the wheel and the right on the gear shift, but my original conditioning keeps kicking in when I’m in cruise mode (driving down the highway, no shifting to do, listening to music, mind wandering). This hasn’t changed in over 4 years of driving on the right. When I’m aware, I make the switch, but if I’m zoned-out it goes back to the original conditioning.