This is what is expected for Tuesday, per NOAA:

BY TUESDAY A COLD WEATHER SYSTEM ORIGINATING IN THE GULF OF ALASKA
WILL SPREAD MORE COLD AIR ACROSS THE REGION…AS WELL AS
BENEFICIAL PRECIPITATION. RAIN MAY BEGIN TO FALL ACROSS THE
REGION IN TIME FOR THE TUESDAY MORNING COMMUTE…BUT IT NOW APPEARS
THAT MOST OF THE PRECIPITATION WILL FALL FROM LATE TUESDAY MORNING
THROUGH TUESDAY AFTERNOON. RAINFALL AMOUNTS WILL NOT BE ENOUGH TO
CAUSE FLOODING. MOST AREAS ARE FORECAST TO RECEIVE BETWEEN A TENTH
AND A HALF INCH…EXCEPT IN COASTAL MOUNTAINS WHERE LOCALLY HIGHER
AMOUNTS ARE POSSIBLE. HEAVIEST PRECIPITATION IS EXPECTED TO OCCUR
IN THE SANTA LUCIA MOUNTAINS OF MONTEREY COUNTY.

AS MUCH COLDER AIR ARRIVES WITH THIS SYSTEM…SNOW LEVELS WILL
DROP TO AS LOW AS 2000 FEET BY LATE TUESDAY. LIGHT SNOW
ACCUMULATIONS ARE LIKELY AT THE HIGHER ELEVATIONS OF THE SAN
FRANCISCO BAY AREA…WITH PERHAPS A FEW INCHES POSSIBLE ACROSS THE
HIGHER PEAKS OF THE SANTA CRUZ MOUNTAINS AND DIABLO RANGE. FARTHER
SOUTH…SNOW ACCUMULATION WILL PROBABLY BE GREATER WITH UP TO SIX
INCHES OF SNOW POSSIBLE ABOVE 2500 FEET IN THE SANTA LUCIA RANGE
OF MONTEREY COUNTY AND IN THE LOS PADRES NATIONAL FOREST. THIS
WILL CREATE HAZARDOUS WINTRY DRIVING CONDITIONS AT THE HIGHEST
ELEVATIONS TUESDAY AND TUESDAY NIGHT.

PERSONS WITH OUTDOOR PLANS SHOULD CONTINUE TO MONITOR THE LATEST
FORECASTS TO ADJUST THEIR PLANS ACCORDINGLY.