Is it not posible to grab the binary stream and decode it, just like the browser would, on the fly with wireshark?
A more usable way is: Set up a proxy on your system that decrypts and re-encrypts all SSL traffic - effectively acting as the browser. It re-encrypts with its own (auto generated) key, but you've put it's signing key in your truststore so your browser doesn't care. In the middle, you can see what's going on using Wireshark.
It's what most corporate firewalls do, as well as that Lenovo software etc.