...but I am learning Irish.
...ach tá mé ag foghlaim Gaeilge.
...but I am studying Irish.
...ach tá mé ag staidéar Gaeilge.
I am learning the Connacht dialect.
Tá mé ag foghlaim an chanúint Chonnacht.
-Side Note: It'd be best for you to fully learn the Standard Irish first before focusing on one dialect, otherwise you will have difficulties in understanding all the dialects.
Le meas,
Maidhc