reading the following codes

[PCM] P0137 - HO2S Circuit Low Voltage Bank 1 Sensor 2 (Old) (Immature)
[PCM] P0410 - Secondary Air Injection (AIR) System (SES) (Old) (History) (Current) (Immature)

which one would cause SES to come on?
if both then why is one "Immature" and the other "Current & Immature"

can someone explain (Old) (History) (Current) (Immature), im lost

Old is just a code that tripped a light and then cleared up, you only need to worry about the current code. That'* the one that is making the light come on now.

The codes have a hierarchy. Like Dan said an "old" one is one that reset itself or you had/did work to correct but the fault wasn't removed from the memory. Alot of scanners read faults but don't have the ability to remove. Fixing the problem removes the SES light but the fault code remains until it can be cleared.

Fault codes are stored according to priority. A fault with a higher priority will set with the first indication of a failure. Fault codes that are not a high priority may only set the SES light after two or three faults have been detected. These may be shown as pending codes on your automotive scan tool.
Some diagnostic car scanners will also display how many times a pending or immature code has failed. Compared to the amount of active drive cycles in the memory. This could mean that a body code may have shown a fault one time out of the last xxx key cycles.

But the malfunction indicator lamp was not turned on to notify the driver, because this fault was highly intermittent.

Your first code tripped once or twice but then did not happen again in the current cycle written into the program is.

Your second code tripped once or twice and happened within the mentioned cycle. I have read OBD2'* cycle is 75 "key on activations" Not sure of the number for the others.

k so this means the O2 sensor is still fine correct? and my problem is the air pump again... is this another common GXP problem? less than a year ago i changed my air pump and now it came back on again, GM didnt believe me when i said it needs to be changed again, so they went ahead and told me they "reprogrammed" the PCM when all they did was clear the code, I cleared it last time myself when it first went on and took just over 24 hours to come back on, and heres the exact same thing just happened.... sometime i really wonder if the techs know what they are doing in most shops

Still under warranty? Take it in, have them pull the code, point to it and say if it'* not a problem, why is this code there? As they stand there slack jawed, say fix it. I've seen far to often, dealerships talk to you like you have no clue. It'* easy to stand there and look like you really have no clue. Then show them you actually do know, then watch them try to save face.

its still under warranty but i pay a 200 deductible everytime the car goes in, im not this time for sure

Yes the O2 would be "old'. But the air needs to trip x amount of times to be a "real fault" A stall, or a WOT abruptly let off, and who knows how many things can momentarily trip the code. It has to happen enough times for the light to stay on and GM reimburse them. Which BTW has taken a real hard stance w/Dealers about warranties. I'm assuming you have that hose from the airpump to the airbox that seems to have been missing on some GXP'*.

yep, i sure do, is that where its going? to the air pump?

Yes that hose goes to the pump. So having it wouldn't be a suspect problem. Lack of it like some here reported back when new could.

Read through that, thats pretty much what we did, but why do they recommend only oil lines as opposed to heater lines? We put a high pressure heater line on mine.