It was actually very close to the type of anime I was expecting (thanks to the glum facial expression of the main character Henrietta on the cover), with a pace on the slower side of the spectrum and lots of concentration on characters and in a couple of cases character development. I could have definitely seen this series elongated from 12 to a full 24-26 episodes by adding a modicum of plot and a lot more character exploration.
To briefly discuss the plot, there are a number of girls ranging from 11 to young teens that were in various tragic situations where they wouldn't have much longer to live. A secret faction of the government would secure these girls and replace much of them with cybernetic parts to maintain their life and give them a high combat potential, brainwash them to forget their previous lives and assign a "handler" to them. This handler was always an older man that would command the girl and would consequently also end up in a sort of father-daughter relationship with the girl. Seeing these relationships play out was possibly the most interesting part of the series.
All and all, I'd say this was a real masterpiece, there is very little that I could fault Gunslinger Girl with, and there was so much that it did right. The animation, character expressions, setting and overall feel were spot-on. I'd highly recommend it to anyone that enjoys melodramatic anime.