a weber grill's mostly good for steaks, and other quick things. I do my steaks 3-4 minutes per side, maybe twice per side at most. These are 1" thick at least. I usually brush A1 or other sauce on them before they hit the grill. A1 is better cooked on it, than as a table condiment. Plus, it's kind of like fire armor...
never ever fry a steak in a pan. Every time you do, a cow dies needlessly.
I do occasionally saute steaks in a pan. Seriously, it's freaking cold right now (-1 F this morning).
When I do it, I use the Alton Brown way:
Pan Seared Rib Eye Recipe : Alton Brown : Food Network