You do need to amend your tax return to add the Social Security benefits. The SS may be taxable depending on the other income that is included in your return. But you should add this to your return to find out how much if any is taxed.
Whether or not your Social Security income is taxable depends on your total income, including your Social Security plus any other income.
Your benefits may be taxable if the total of (1) one-half of your benefits, plus (2) all of your other income, including tax-exempt interest, is greater than the base amount for your filing status. The taxable portion of the benefits that are included in your income and used to calculate your income tax liability depends on the total amount of your income and benefits for the taxable year. You report the taxable portion of your social security benefits on line 6b of Form 1040 or Form 1040-SR.
Please see this from the IRS for more information.
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