I'm not sure what tax software I used in 2013. Is there a way to see previous year's taxes?

TurboTax only retains online tax returns for the past 7 years, the same retention period as the IRS.

If you used one of the TurboTax desktop CD/Download editions for tax year 2013 then any saved tax data files or PDF's of the tax return will be on the computer where the software was installed.  TurboTax does not store online any returns completed using the desktop editions.

TurboTax no longer supports tax year 2013.

TurboTax follows the IRS guidelines and deletes tax information after 7 years.   Neither TurboTax or the IRS would have a 2013 tax return.