I am a holder of the UN 1951 Convention travel document issued by Italy - an EU country. I have been traveling within the Schengen area for many years. In one week I'm going to Ireland. Do I require a visa?
The Irish government provides a tool for determining what visa you require to travel to Ireland. Putting in your details shows that you do not need a visa to travel to Ireland for any stay up to 90 days.
Ireland is a party to the European Agreement on the Abolition of Visas for Refugees. Since you have a 1951 Convention document issued by another party to the agreement, you can travel without a visa. However, note that the UK is not (anymore) a party to the agreement. You would need a visa if you were to travel to Ireland via the UK, and you would need a visa if you were to cross the border into Northern Ireland, despite the lack of border controls.