1099G statement reads that my unemployment has been reported to the IRS. Do I need to report it again on my 20222 income filing?

Yes you do.   That is taxable income that must be entered on your return.

UNEMPLOYMENT COMPENSATION

Unemployment compensation is taxable on your federal return. 

You will have to enter a 1099G that is issued by your state.

Some states will mail out the 1099G.  Or you might need to go to your state’s unemployment website and use the password, etc. that you have been using to certify for weekly benefits to get your 1099G from the state’s site.

Enter your 1099G in Federal>Wages & Income>Unemployment

Go through the screens very carefully, making sure  to enter any federal/state tax you had withheld from the unemployment.

https://ttlc.intuit.com/community/entering-importing/help/where-do-i-report-a-1099-g-for-unemployment-or-paid-family-leave/00/26530