No, you will not enter any gains or losses that occur within your Roth IRA on your income tax return. You will only need to report any distribution/withdrawals/rollovers related to your Roth IRA on your income tax return. (For any reportable Roth IRA transaction, you will receive a 1099-R from your Roth IRA administrator.)
Please
refer to IRS - Roth IRAs - Publication 590 for more information about Roth IRAs.
