I assume you bought a gas grille. Which I have no experience on, I like old fashioned charcoal.
But anyways here is a list of stuff that tastes great grilled.
Chicken (wings, breasts, legs)
Steak
Hamburgers
Ribs
hot dogs
fish
Corn on the cob, leave the husk on it, and grill it like that.
Onions - again leave the outer layer on, and just rotate the things then when the outside is nice and burnt looking pull it off and peel the outer layer off. It makes the onion sweet.
probably quite a few other things but that is pretty much what I cook. Again though I use charcoal.
Aluminum foil works well, you can wrap your chicken in that, and slow cook it for a few hours, and keep the barbeque sauce or whatever you marinate inside with the chicken, and really let the flavor seap in.
Works good for ribs too, to cook them in foil, with the sauce.