SoCal trnzplnt here...
Josh can be climbed year round, you climb in the mornings and later afternoons...hang out in town or the shade when it gets too hot and drink tons of water.
Tahquitz/Williamson/Malibu/Big Bear are great summer/fall areas. (The last 3 being primarily sport)
Without knowing your skill level, here are a few of my favorites.
From the South Face:
Left Ski Track 5.6** (3-pitches)
West Face:
Jensen's Jaunt 5.6* (4-pitches)
Coffin Nail 5.8** (1-pitch, connect to Jensen's Jaunt or tie it into Traitor Horn 5.8+**)
Fingertrip 5.7 ***** Classic (5 Pitches)
Fingertip Traverse 5.3 ***(5 Pitches)
Angel's Fright 5.5 ** (5 Pitches)
These should keep you busy for a few days. If you want/ need more beta feel free to PM me.
The friction decent is about class 3/4 and can be tricky to find. Don't be too "macho" to ask if you're not sure. Same with overall routefinding. Many people have gotten in way over their heads here. If in doubt, ask around. If you're there on a weekend, the rock will be humming with climbers by 10 a.m.
The schlog to the base of the rock is no joke. It's a steep-ass hill...but it's well worth it IMO.
If you'd like route suggestions for any other SoCal climbing area, just ask
-Hanger