Edit: though I thought about it a little more. The more interesting question is regarding the standard library, rather than the compiler. Applying different licenses to the two is not unusual (gcc is GPL, glibc is LGPL). From what I can see, the standard library is embedded entirely into the compiler, and thus yeah, I do think programs that use this would actually have to be GPL. Not that that's a bad thing though :)
There is also an interesting question about license compatibility between GPLv3 and GPLv3 with RLE, but that is mostly ignored by everybody.
Programs that are not combined with KamilaLisp, only requiring an installation of KamilaLisp for their execution, almost certainly don't have to be GPLed.
Except in the case of libgcc, which is not just GPLed, but has a GCC Runtime Library Exception.