It depends on what kind of climbing you're more interested in. They can be as elaborate or minimal as you wish. But the bare bones minimum would be bouldering, up to traditional climbing and then all the way to mountaineering. These suggestions but id recommend making friends at a climbing gym or going on a few group climbing trips with a guide to test each discipline out, and see what you enjoy most, before spending any serious money on any of these.



Bouldering: Shoes, Chalk, Chalk bag/bucket, crash-pad.



Indoor: Harness, shoes, chalk bag.



Sport: Harness, shoes, belay device, rope/tarp, 6 quick draws, something to carry it all in + park fees if they apply.

http://acmeclimbing.com/acmesportclimbingpackage.aspx



Traditional (Trad): Spirt package + helmet, .3-4 size cams, nuts, but tool, slings, caddy strap (holds all the gear your harness can't) at least 6 extra biners. LUNCH! http://acmeclimbing.com/acmedeluxeleadclimbinggearpackage.aspx