If you e-file your return it will be paperless. You will not have to mail anything to the IRS or state. It is a good idea to print a copy of your return for your own records.
https://ttlc.intuit.com/community/prior-year-return/help/how-do-i-get-a-copy-of-a-return-i-filed-this-year-in-turbotax-online/00/25932
You can now file a completely paperless return, right down to your signature.
I do recommend keeping a PDF copy for future reference.
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E-file: Income Tax Return Electronic Filing - TurboTax Tax Tips ...