Any Lame Place to Visit in Dublin ?

Hello ! First time in Ireland next week and i will spend a few days in Dublin, i'm interested by very "average" Irish things to visit like what grocery store you go or basic restaurant/fast food chain that is only in Ireland.

Of course if you have some recomandation on cool tourist things that are not obvious i gladly take it !

Also, i feel it's a ridiculous question but if i go to a pub and ask for something without alcohol, will i get thrown out by a drunk mob ?

EDIT : THE DRUNK MOB IS A JOKE, SORRY IT WASNT SUBTLE