Do I need to report any gains or losses in a roth ira for purposes of filing my income taxes

[DS30]

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.

[VolvoGirl]

You only report contributions or withdrawals or rollovers.  You will get a 1099R for those.  You have to report any 1099R you get.