That's correct.
Your wife and yourself can attend the GNIB office within 90 days of your arrival with the following documentation:
• Your original marriage / civil partnership certificate
• Your wife’s original passport
• Your Irish original passport
• Evidence of your joint address, e.g. mortgage/rent agreement, household bills (gas, electricity, phone or cable/satellite TV), bank statements, etc.
You will be applying for a Stamp 4 for your wife on the basis of marriage to an Irish Citizen and is usually granted in hours at the GNIB office in Dublin if there are no complications, once this Stamp is granted she will be able to study / work and reside in the state legally. Initial Stamp is most of the times granted for 1 year and then you will need to renew it following the same process.
They are quite busy now at the GNIB office in Dublin so you should book an appointment (link below), if you are not planning to live in Dublin the registration can be done at your local Garda station.
https://burghquayregistrationoffice.inis.gov.ie/