He appointed a scholar, Honorius of Kent, as Archdeacon of Richmond. Honorius later wrote a book on canon law that was popular enough that it still exists in seven manuscripts.
He seems to have been a patron of the creator of the Leiden St. Louis Psalter. A psalter is a book of psalms, usually lavishly illustrated and made for a wealthy patron. This psalter was made in Northern England in the 1190s, it is 185 pages about 9.5x7 inches. (The picture of it above is from this site where you can purchase facsimiles of medieval works.) It includes 78 illustrations from the Old Testament, psalms, and a calendar of feast days.
There are two versions. The original made for Geoffrey seems to have became the property of Blanche of Castile after his death. This is the Leiden St. Louis Psalter because it ultimately wound up in the Leiden University Library. A new version was made after the death of Blanche for the benefit of her son, Louis IX of France. It is called the Psalter of St. Louis, and resides in the Bibliotheque national de France. You can view the manuscript yourself page-by-page here.
Geoffrey's psalter was used by Blanche to teach the young Louis to read, according to a note in French added to it. We cannot gauge its influence on the young prince, but Louis IX of France is the only French king who became a saint, and maybe we should look at why tomorrow.