Jeff,
You can turn the ignition switch to ON (immediately before engine cranking) and read battery voltage from the digital gages. This is how many volts your battery has. You can then start the engine and read the same voltage; this is how many volts your alternator is producing for your battery. Two readings, as far as I understand, are two altogether different things. If you have lower than 12V at ON position your battery is dead meat.
I had my SES light on and off like yours when I first got the car. It ended up being the O2 sensors. Never saw that SES after replacing all 3 x O2 sensors