Grilling the Corn - Preheat the barbecue grill on medium heat.
To the preheated grill, add the ears of corn and close the lid on the barbecue.
Every few minutes, open the lid and turn the corn so that it doesn’t sit in one place too long and burn.
Continue turning the ears of corn every few minutes until the corn turns a dark color in various places on each ear of corn (about 15 minutes).
While the corn is cooking on the BBQ, prepare the serving dishes.
For the Serving Dishes - Underneath where the corn will sit on a corn-on-the-cob dish, serving dish, or on a medium size plate...add softened butter.
Then add crumbled Gorgonzola cheese on top of the butter. Add pepper on top of the cheese.
As soon as the corn is done, while it’s still hot from the grill, lay each ear of corn on top of the butter, cheese, and pepper mixture.
Then push down and roll the ears of corn into the butter mixture so that the corn is coated on all sides.
For the Garnish - Top each ear of corn with more crumbled cheese.
Garnish with chopped or thinly sliced fresh basil.
Serve warm.