Head and eyes up , Look through the corner ! use the rear brake only if at all possible.
Using the front brake will cause the bike to stand up more vertically and change your line.
If you cannot see all the way through the corner , slow down !
Stay confident and be smooth . If you do not have any elevation to practice on , try using the on / off ramp to the freeway outside of town .
We ride through the mountains all the time. Roll off on the throttle as you descend and the engine braking does an excellent job of slowing the bike down, even on very steep hills. There's a road outside Baker City, Oregon that drops 4000 ft in twelve miles, almost like a ski run in some places. The Duffy Lake Road in BC has a stretch that is a 17% grade, and again, just take your foot off the gas and coast down, let the bike check it's momentum. Use the rear brake to slow the bike and the front brake when stopping.
The rest is common sense. Ride within your limits. Don't overdrive a corner, i.e. don't go in any faster than you can see. Let your sightlines dictate your speed, especially on steep twisty roads. You never know what may lie ahead — big rocks, gravel, a deer, a tree, a car wreck, a sinkhole, tar snakes — anything could be there, sudden impact at speed if you're going to fast to react. Seen it happen.
SLOW DOWN when there is a sign saying SLOW DOWN. They are usually there for a reason. There is another stretch of road in Montana, a long, steep, twisty downhill and at the bottom there is a big yellow sign with an arrow pointing left that says (ahem) 5 mph. Just around the very sharp corner there is a bridge abutment rising from the center of the road with a bunch of white crosses on it. I thought 5 mph was stupid overkill until I saw the bridge.
Watch for pea gravel in the corners, especially early in the season. It's common where there is lots of snow in the winter, not a hazard you have in Florida! That crap will dump a bike quickly. Accelerate carefully through the corner without getting carried away and let the bike do the work at checking the speed as you continue downhill.
Probably the only tricky thing is learning to feather the throttle it to control when the bike downshifts, but that's more getting used to the bike. I don't use the manual shift feature. Riding in mountains is really quite easy, just like riding a Burgman.