In general the public transport is aranged very well. It’s safe and runs on time, all kinds of people use it. You can plan your trips from door to door in several sites or apps. You do need a travel card (OV Chipkaart), and as a student it might even be free for you!
Travel planners
Below are the 2 most popular travel sites. Both websites provide current door-to-door travel information and show travel costs. The NS also has an app, which is useful if you will travel often by train.