Where can I find electrical pinout of C152 microphone jack and DC bias?
There are some great resources on webpages mostly aimed at home builders and experimental aviation enthusiasts as well as some electrical engineering forums. 

Most of these aviation radios are set-up for use with a carbon microphone. They are fairly simple pieces of kit. If my memory serves me correctly the acceptable forward bias voltage range is set by the RTCA (https://www.rtca.org/) however I can't find a solid reference for this.

As far as I know, so called "GA plugs" (The 5.25mm/6.35mm style plugs) are wired as follows:

Sleeve             GND                           GND
Ring         MIC OUT/BIAS IN                    8-16v (Short circuit current ~150ma)
Tip       PTT  (Switch shorts to GND)            PTT


The reasoning behind the PTT switch still being assigned is for handheld backup microphones.
Many newer headsets don't use carbon microphones and use the electret capsule style microphones instead and therefore require some complex electrical engineering wizardry to drive.