PES University is better for CSE in comparison to NIT Patna. PES has established a brand name over the years.
It offers better placement opportunities in comparison to NIT Patna. The college infrastructure, environment and other facilities are good. The administration is strict in certain manners, and the students are expected to fulfill the attendance criteria.
Though it is not very affordable, and the hostels aren’t top notch. But it offers good industry exposure, and the student crowd and faculty of this college is also good enough.
I would recommend PES for your CSE. However, I would also suggest you talk to some of the department seniors at both these colleges for better decision making.