There are a large variety of accommodation available within walking distance of the Summer School venues, including:
The Burlington - 20 minute walk to the Academy - A larger commercial hotel
Buswell's - 2 minute walk to the Academy - A 3-star hotel
The D4 - 25 minute walk to the Academy - diverse room types available, some significant reductions available online
Harcourt Hotel - 15 minute walk to the Academy - Conveniently located to Grafton Street and Stephen's Green
Kilronan House - 15 minute walk to the Academy - A family friendly hotel located on a quite residential street
The Mespil Hotel - 15 minute walk to the Academy - A friendly hotel located along the Grand Canal at the Baggot Street Bridge
Staunton's on the Green - 5 minute walk to the Academy - Pleasant Accommodation in a small professional boutique hotel
Trinity Lodge - 5 minute walk to the Academy - A centrally located boutique hotel
For the more budget minded, dormitory accomodation at one of Dublin's universities is also available:
Trinity College, Dublin - 10 minute walk to the Academy.
University College Dublin - a 25 minute bus ride to the Academy.
You will also find a service such as Kayak.com useful for booking accomodation as you benefit from their bulk discounts on hotel rooms.