It's great that you have plans to watch our native sport when you travel to Ireland next year. You have two main options when it comes to watching a hurling match in Ireland: club matches between parishes within each county and intercounty matches (county vs county).
The 2023 calendar has not been officially confirmed yet so it is difficult to say what matches will be played while you are in the country. I would recommend that you keep an eye on the GAA.ie website
over the coming weeks and months. Information about tickets will also be provided there closer to the actual fixtures.
In May, it is expected that several intercounty competitions will be played in the different provinces. Therefore, you should have a good opportunity to watch matches during your time here.
In terms of club matches, there may not be any championship matches happening at that stage in the year. However, on your travels through Ireland, keep an eye out for GAA pitches as there are frequently challenge (friendly) matches taking place as teams prepare for the season.
I hope this information will be helpful to you.