Yes the real IRA are guys who did not agree with the peace treaty and decided to keep fighting, their actions are not praised by old IRA guys like Gerry Adams etc, they go against the peace treaty but are obviously small in number, they have done some bad stuff though like the Omagh bombing in 1997 that killed about 30 and they shot 2 British soldiers dead in 2009.
I think the leader though got shot dead in Dublin a few years ago in a gangland hit, but their still active.