No. Pro is paid in advance for a month or a year and never charges you again by itself.
If your email is confirmed, we email you 3 days before your Pro ends.
To keep Pro, go to Plan & Billing and choose Renew Pro (on the yearly plan, Renew Pro Yearly). Renewing early adds the time on top, so you lose no days.
On Pro Student, choose Get Pro Student under More ways to get Pro instead, to keep the student price.
If you let it end, your account and resumes stay safe on the Free plan.