Like Saucisson, I'm a charcoal and wood BBQer myself. But hey, I can always lend an opinion
What you have is a grill. It cooks hot and fast, so things that are appropriate for hot and fast cook great on it, like steaks, shrimp, kabobs.
Also with that hot and fast, you've got to stay with it and mind the cooking. You run to the fridge for another cold beer and could come back to burnt meat.
Alternative uses depend on the configuration of the grill. If you have multiple burners, you can turn one on and leave the others off. Then you'll have a hot spot to do the searing with and a cooler spot to slow the cooking down a bit.
Another thing you can do with multiple burners is a bit of smoking. You take some saw dust/chips of an appropriate smokewood (hardwood that comes from a tree that bears fruit or nuts, like cherry, apple, pecan), put it in a foil pouch and poke some holes in the foil with a fork. Put that under the grate, over the lit burner, put the meat over the unlit burners, keep the lit burner down on low to medium. Close the lid and let the meat absorb some smoke. Just remember a little goes a long way.
Most of all - experiment! Good luck!
Use appropriate tools those grills get hot!