Just bought a 2000 pontiac Gt with 110000 miles on it two days ago. Ive driven it 137 miles before the service engine soon light came on. What do you think it is

Did you make sure your cap cap is on tight? The "check engine" light is there to help warn drivers of a problem with their car's engine & related systems.

I suggest a tune-up.

indicates a low fuel pressure problem
random misfires are predominately fuel pressure related rather the electronic
check pump operation , pressure regulator, filter , and EVAP for not venting the fuel tanl

is there a question here? Haven't seen one so far

You won't know where to start the diagnostic process,until you pull the codes,that set the SVC Light.

No it will not. If you just bought the car. no doubt it has problems and the person you bought the car from had cleared the codes. After you have driven it a few days, the light has come on. because the engine computer (ECM) has run the tests and if a a component fails the test 2 times it will turn the light on. Sometimes a good scan tool (tech2) can tell you the "miles since cleared" and you how how many miles ago that the computer was cleared of all codes.

On My 2007 Pontiac G6 The Air Bag Maintenance Service Light Came on as soon as I started the vehical and stayed on threw the drive home. Upon start up the next day all was normal No Light on
or message
Have you any idea what is going on here

The service light means something is wrong with the car and it needs attention now. Get the codes checked and that will tell you what is wrong with it.

I use 10w30 we got about 110000 miles on it....

The service engine soon light would have nothing to do with the oil or the coolant. There are many things that can cause the SES to come on, and some of them will cause the traction off light (TRAC OFF) or similar to come on because the traction has been dissabled. You will need to have the check engine light codes scanned. There will be trouble codes stored in the computer. From there the problem would need to be diagnosed, problem repaired, then codes cleared. Here is site with a list of some typical trouvble codes......
http://www.greatautohelp.com/dtc/dtcindex.html