The only difference in interview questions between full time and part time employment status is "What is your availability?" Other than that, hiring questions are the same. Be prepared to answer, "Why would we hire you?", What's your long term and short term goals?", "Why do you want to work for our company?", "IAre you willing to work full time if we ask you?"
When answering questions, always expand your answers. Don't just say yes or no.
Best of luck to you!
Although it will vary by the job type, I would guess asking about your flexibility, your willingness to do things that might not have been on the posting, and why you would be good at this job would included.