I think it's pronounced BREE-shee. Anyway, this is an absolutely gorgeous name. A terrific alternative to Bridget (and all it's variants), Bree, and Brianna (and all it's variants).
Reminds me of the beginning part of the name Breehy-hinny-brinny-hoohy-hah, which belongs to the talking horse from "The Chronicles of Narnia". Also sounds like breezy, which I like. An odd, unusual little name packed with spunk, and it's not just nonsense noises that sound pleasing together, it's actually a legitimate name with substance. It's so out-there yet still conventional and down-to-earth; I really, really like it.