Q. How do I apply for student ID as a part-time student?

You can get a student ID by following the instructions found here (although it says it's for full-time students, it applies to part-time as well):

http://libraryhelp.georgebrown.ca/faq/10785

The only difference is that as a part-time student, you will have to pay a fee of $12 (for full-time students this fee is part of their tuition).

You can pay for your Student ID online through STU-View.