How long is a long commute? If it's the other side of the city in Dublin versus Cork, Kilkenny, Limerick, Galway, Waterford the answer will be very different time wise. DC here went local, walking distance, that's potentially a saving of 2 hours travel time each day, getting some exercise and extra study time each day as well as getting healthy food when they get home instead of junk food on the go.
The school you went to as a teenager is not the same even if the building is unchanged. The headteacher will have retired as will most of the teachers. Even if the school was founded by nuns in the 18th, 19th or 20th century you can be almost certain that there will be no nuns teaching in the school now. The ethos of the school may still be Catholic but reflective of a modern society.
Students will study religion but not just Catholicism, they will learn about Hinduism, Buddhism, Islam, Jewish and other faiths. My DC sat exams for Junior Certificate based on all faiths studied in the JC curriculum. They learned from classmates about different customs. Catholic schools are under the same pressures as any other schools in the country to maximise points at Leaving Certificate. Speaking from my own experience with my DC, there will be one annual trip to the parish church for Mass, and one just for Leaving Cert graduation. There may be a quick prayer at the start of the day, students may be expected to stand but remain respectfully silent if they so wish.
History, science and art will be taught from the national curriculum just as they would be in an Educate Together school. This was how it was for me back in the last century too. My biology teacher was a nun, a very gentle soul, and she had no problem teaching us about human reproduction including the male and female reproductive organs which is the basis of me being gender critical today. (Trans identified males are still men.) All the books for these subjects will probably be common to both faith based and Educate Together schools. I suppose that it is not beyond the bounds of possibility that an art class could be tasked with producing some artwork to tie in with any event in school (such as a school musical or a harvest celebration). And the nun we had for Art had no problem showing us The Birth of Venus painting as well as The Ardagh Chalice. Had a lay teacher for history, followed the curriculum to the letter including pre-Catholic Ireland, Bronze and Iron Age pagans and hedge schools and Catholic Emancipation.
School here produces excellent academic results, several students in the top 100 at LC this year, non-private, lots of non-Catholic children enrolled of various faiths and none. I haven't heard of any of them being converted or even being encouraged to do so.
If your DD is heading into 6th class in school in September then you really need to get your skates on, the first offers will be made then - usually firstly to qualifying primary feeder schools, then siblings etc, then gradually filtering down to out of area applicants. But you will need to apply, even if you are local you won't be guaranteed a place if the school is over-subscribed from local applicants.
You could be brave here, name your city, name your location (roughly) and name the local school. People could then give you school specific information about the current school ethos and hazard a guess as to whether the commute would be worth the trouble, are you talking one bus or two etc? See what other people with similar views to you are doing locally, there may be another school which will meet your needs better. Also, you can go to the Department of Education & Skills website and search for WSE evaluations of the schools you are considering. Talk to your neighbours with older children, what do they think of the school?
Education is accessible to all, or should be, places will be found - even the most profoundly disabled child must be accommodated, rightly. The number of Catholic schools is decreasing as schools are amalgamating and you will almost never see a Catholic-based application to run new schools - these patrons are mostly coming from ET, county ETBs, Gaelscoileanna, Le Chéile, Muslim backgrounds.