Bleach might kill some of the bacteria, but bacteria is rather resilient. Some of it might die, but once the initial shock is over, it will be back to multiplying again.
I've had bleach, antibacterial soap, dish soap, and all sorts of stuff go in to my septic tank. The bacteria still recovers because there is so much of it and it multiplies quickly.
But, if you are still worried about it, you can flush some RidX down the toilet to feed the bacteria.