No, you do not need to report anything.
A Restricted Stock Unit (RSU) is taxed as ordinary income when it becomes vested. It is reported in box 1 of your W-2 and taxed accordingly. You have nothing to report.
When you sell these shares, you will report the sale on Schedule D and pay tax on the difference between the vested share price and the sale price.
This
article explains more about the tax treatment of RSUs.
