No. Social Security is only taxable if you have other income in excess of certain thresholds. Since you have no other income, your Social Security is not be taxable.
The taxes that you are paying now for for the social security and medicare insurance program are being used to pay for the benefits that the current beneficiaries are receiving at this time and also...
Because you are required to when you have other gross worldwide income and form 50% to 85% of your SSB can become taxable income on your 1040 federal income tax return at your marginal tax rate.