Discrete form of bilinear form of non-linear problem

I hope all are doing great. I want to ask about the discrete form of a non-linear problem. In Ngsolve we solve non-linear problems using the Newton method from bilinear form. In linear case, we get a matrix by assembling of bilinear form. Can we get discrete equations of the bilinear form of a non-linear problem? Does anyone have an idea?
Have a good day.