You could ask GCC to dump its internal (Gimple, ...) representations, at various "stages". The middle-end of GCC is made of hundreds of passes, and you could ask GCC to dump them, with arguments like -fdump-tree-all or -fdump-gimple-all; beware that you can get hundreds of dump files for a single compilation!
However, GCC internal representations are quite low level, and you should not expect to understand them without reading a lot of material.
The dump options I am mentionning are mostly useful to those working inside GCC, or extending it thru plugins coded in C or extensions coded in MELT (a high-level domain specific language to extend GCC). I am not sure they will be very useful to your friend. However, they can be useful to make you understand that optimization passes do a lot of complex processing.
And don't forget that premature optimization is evil : you should first make your program run correctly, then benchmark and profile it, at last optimize the few parts worth of your efforts. You probably won't be able to write correct & efficient programs without testing and running them yourself, before giving them to your friend.