The classic way to fish for bluegill/sunfish (hereinafter referred to generically as bluegills) is casting a size 10 or 12, rubber-legged popping bug or spider with a light fly rod and floating line.
I wish I had discovered fly fishing when I was a kid. I spent hours collecting grasshoppers and tossing them into Louisiana ponds, bayous and lakes, just to watch mostly bluegill and bass peck them ...