TurboTax will not have that information. As a working adult, you are supposed to keep track of your own employment history. You can get a wage and income transcript from the IRS that will show the W-2's or 1099's that you received income from, but that will not show the actual dates you were employed--only the tax years for which the income was reported. You could also check with Social Security to see the employment that was reported to SS.
https://www.irs.gov/individuals/get-transcript
https://ttlc.intuit.com/questions/2561916-how-can-i-get-a-copy-of-my-w-2
To get a copy of a W-2 from Social Security https://faq.ssa.gov/en-us/Topic/article/KA-02501
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