I do not think you need lazy cam to work your lathe.
You have only two axis. Basically you set one axis to a diameter (or radius) and then cut with the other. It is very simple to write code to do this.
With CNC you can, of course, round the end of a bar, which is a G2 or G3 move.
The most difficult thing I have cut so far, is a handrail post, or stanchion, which is a bar with round end (for the top rail), a round knob halfway, (for the middle handrail) and a half round base. I managed to program that with a CAD program, then wrote the GCode.
I would have a go at writing GCode first to get going.(There are tutorials on the Internet) I have tried lazy cam with the lathe without any success - and I think there is still a bit of development work to be done on it.