Remodeled a few years ago, the Los Feliz branch of the L.A. public library system is a beautiful little building. There's a small front reading room with big windows (lots of natural light) and comfy, cushioned bench seats around the perimeter. There are two computer areas with more than a dozen terminals between the two--and Internet access is free! The library also has a meeting room. The place gets busy and a bit noisy after school, between 3pm and 5pm, but otherwise, it's usually a nice, quiet place to browse. All in all, an excellent neighborhood resource.
Pros: Beautiful building