Carnivor plants usually live in tropical weather or deserts. These plants became carnivor because of lack of nitrogen in the soil. They all can do photosynthesis like other plants.So we can define same process with the others.
All the differences occured by lack of nitrogen, because nitrogen is an important source for living
It is a green plant so therefore,contains chlorophyll which enables plants to be photosynthetic. It photosynethezies just like every other green plant.