Nice that you're in a studio - you can control the lighting and reflections much more easily. A few tips that may be of some help:
See if you can tell what kind of glass it is - plain glass is of varying quality but shouldn't present too much of a problem generally, although the cheap stuff may distort the image a bit. Non-reflective glass may produce a slight colour cast, (green/blue ish,) and may slightly soften the image you take, more than plain glass. Museum quality glass, (if the paintings are expensive,) is designed to reduce 90 odd percent of harmful light to prevent fading, and may well result in a strange colour cast too, but won't noticeably distort the image. However, none should be a major problem, its just handy to be aware, just in case!
If you don't want to shoot from directly above the painting, (which can be a pain,) I would stand the painting up at an angle of 45 degrees (ish!) on the floor against a stable prop, and support it at the bottom edge of the frame to stop it slipping. Set your tripod up so that the angle of the lens matches the angle of the picture facing you -ie: get it dead level and straight, minimising converging verticals etc.
I use two lights with soft boxes on, and position one each side of the camera, just in front and quite high, facing the subject in the middle so that they don't reflect in the glass. (Bounce them off large reflectors if there isn't any choice.)
Good luck!
