It's a hard one to explain, but the n is slender and combined with the slender gh is kind of like the Spanish "ñ" or French "gn" followed by a schwa:

Tá an ghrian ag soilsiú
TAWNyih RHEE-un uh SYLE-shoo
/tɑ:n´ ɣ´r´i:əN ə sail´s´u: /
/tɑ:n´ ər´i:əN ə sail´s´u: /

Maybe Lughaidh can give us the IPA for it?

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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).

In Donegal:

Tá 'n ghrian a' soilsiú.
[tɰæːnʲ ˈʝɾʲiənˠ ə ˈsɔʎʃu]

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Is fearr Gaeilg na Gaeltaċta ná Gaeilg ar biṫ eile
Agus is í Gaeilg Ġaoṫ Doḃair is binne

The people on here are very knowledgeable. It's kind of hard for a monoglot like me to just listen to sounds and try to mimic them. It helps to know the names / IPA symbols for the sounds so I can get a better idea of what sound I am trying to make.

In Munster anyway gh slender is the English y before a,á,o,ó and a voiced version of ch otherwise (there are some small exceptions, but mostly).

And "n" in the article does change pronunciation next to c,g,ch,gh, it becomes ng basically:

an ceann => ang ceann

This even happens with b and m:

ceann ban => ceam bán
an brontanas => am brontanas

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The dialect I use is Cork Irish.
Ar sgáth a chéile a mhairid na daoine, lag agus láidir, uasal is íseal