Here are the names of the letters in An Aibítir, the Irish alphabet:

a - á /ɑ:/
b - bé /b´e:/
c - cé /k´e:/
d - dé /d´e:/
e - é /e:/
f - eif /ef´/
g - gé /g´e:/
h - héis /he:s´/
i - í /i:/
l - eil /el´/
m - eim /em´/
n - ein /en´/
o - ó /o:/
p - pé /p´e:/
r - ear /æ:r/
s - eas /æ:s/
t - té /t´e:/
u - ú /u:/

Here are the names of the letters not included in An Aibítir but used in loanwords, etc.:
j - jé /dʒe:/
k - ká /kɑ:/
q - cú /ku:/
v - vé /w´e:/
w - wae /we:/
x - ex /eks/
y - yé /γ´e:/
z - zae /ze:/

Sound files for these can be found in the CD that accompanies Learning Irish by Mícheál Ó Siadhail.

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Múinteoir Gaeilge - Irish Teacher
My "specialty" is Connemara Irish, particularly Cois Fhairrge dialect, but I can also speak Ulster and Munster Irish with native-level pronunciation.
Is fearr Gaeilge ḃriste ná Béarla cliste, cinnte, aċ i ḃfad níos fearr aríst í Gaeilge ḃinn ḃeo na nGaeltaċtaí.
Gaeilge Chonnacht (GC), go háraid Gaeilge Chois Fhairrge (GCF), Gaeilic Uladh (GU), Gaelainn na Mumhan (GM), agus Gaeilge an Chaighdeáin Oifigiúil (CO).