Employer did not report Social Security and Medicare

I was previously on F1 status and therefore didn't need to file any social security and Medicare taxes but last year in 2020 my status changed to resident but my company did not change my tax deductions., so in my W-2 for 2020, box 3 and box 4 are still both blank. My employer says that I should do my taxes with the current W2 and later, IRS will  will most likely tell me the next steps on what needs to be done for the Social Security and Medicare needed to be paid. Is this correct? What will be next steps?