Just a few useful links:

For checking the weather, you might want to look at the local weather radars:
http://radar.weather.gov/radar.php?rid=vbx&product=N0R&overlay=11101111&loop=no
Or for the whole country, you can bring up this:
http://radar.weather.gov/Conus/
From there, you can click anywhere on the map to bring up the local radar view.

Traffic has been getting busier lately, so here's the California Highway Patrol site with incidents they respond to:
http://cad.chp.ca.gov/
Just click the drop down menu under Communications Centers and pick the area you want.  They also post information on road closures and Amber Alerts.  Some of my favorite incidents are "Cows Loose on Road." Or as I like to call them, "pre-tri-tip."

CalTrans also posts traffic information.  Live video cameras from the south to the north along major routes. 
http://video.dot.ca.gov/
Or for other information about roads:
http://www.dot.ca.gov/roadsandtraffic.html

You can also listen to many of the local radio stations via the Internet:
KVEC
KSMX
KINF
KCBX

And from Los Angeles or San Fransisco:
KFI
KNX
KGO

KTLA 5 from LA streams its news shows during the day. 

The newscast live stream is available during the following times: Monday-Friday: 4 a.m. to 10 a.m. | 1 p.m. to 2 p.m. | 6 p.m. to 7 p.m. | 10 p.m. to 11 p.m.Saturday: 5 a.m. to 7 a.m. | 6 p.m. to 7 p.m. | 10 p.m. to 11 p.m.Sunday: 6 a.m. to 9 a.m. | 6 p.m. to 7 p.m. | 8 p.m. to 11 p.m.We also stream breaking news as it happens, movies and other KTLA programming. 
Read more at http://ktla.com/live/#p7EtEoq5sAs2qBZ7.99

The newscast live stream is available during the following times: Monday-Friday: 4 a.m. to 10 a.m. | 1 p.m. to 2 p.m. | 6 p.m. to 7 p.m. | 10 p.m. to 11 p.m.Saturday: 5 a.m. to 7 a.m. | 6 p.m. to 7 p.m. | 10 p.m. to 11 p.m.Sunday: 6 a.m. to 9 a.m. | 6 p.m. to 7 p.m. | 8 p.m. to 11 p.m.We also stream breaking news as it happens, movies and other KTLA programming. 
Read more at http://ktla.com/live/#p7EtEoq5sAs2qBZ7.99

The newscast live stream is available during the following times: Monday-Friday: 4 a.m. to 10 a.m. | 1 p.m. to 2 p.m. | 6 p.m. to 7 p.m. | 10 p.m. to 11 p.m.Saturday: 5 a.m. to 7 a.m. | 6 p.m. to 7 p.m. | 10 p.m. to 11 p.m.Sunday: 6 a.m. to 9 a.m. | 6 p.m. to 7 p.m. | 8 p.m. to 11 p.m.We also stream breaking news as it happens, movies and other KTLA programming. 
Read more at http://ktla.com/live/#p7EtEoq5sAs2qBZ7.99

The newscast live stream is available during the following times:

Monday-Friday: 4 a.m. to 10 a.m. | 1 p.m. to 2 p.m. | 6 p.m. to 7 p.m. | 10 p.m. to 11 p.m.

Saturday: 5 a.m. to 7 a.m. | 6 p.m. to 7 p.m. | 10 p.m. to 11 p.m.

Sunday: 6 a.m. to 9 a.m. | 6 p.m. to 7 p.m. | 8 p.m. to 11 p.m.

Broadcastify offers live scanner broadcasts from police, fire, EMS, air traffic and other sources.  CalFire, and SLO County Sheriff are broadcast over it.
Live streaming audio from NOAA.

And then just for something fun, the Abbey Road web cam.