I thought I could find a front page of the LA Times or something from that day, but apparently I can't, not with the search terms I've been using.
I did get this from the LA Times archive: "At 5 o'clock a.m. the barometer registered 30.07; at 5 p.m., 30.06. Thermometer for the corresponding hours showed 57 deg. and 76 deg. Relative humidity, 5 a.m., 40 per cent; 5 p.m., 21 per cent. Wind, 5 a.m., northeast; velocity, 5 miles; 5 p.m., southwest; velocity, 4 miles." But I don't speak meteorological, so I don't know how to translate that to "It was sunny" or "it was cold" or "a drift of cloud shimmered faintly on the western horizon" ...
(Actually I would prefer to have real weather for five places: northeast Vermont; Boston; southeastern West Virginia; Malibu; and San Francisco. I've been extrapolating from typical early December weather for each of those, but the real weather would be so much better.)
Searched: Google: Los Angeles weather December 7 1941; Los Angeles Times front page December 7 1941 (text and image); searched LA Times archive for "weather" on that date