Our product is still in early stages and we're about to release version 1 to the stores with minimal functionality. As with any product, the logo and the branding are very important, so we are open to suggestions and creativity.
Ideally, we would like to start with a simple app icon which makes it clear what the product lets you do - draw, collaborate and share. We are already using some brand colors for the app skin. They are #2584b2, #e9a13a and white. These are open to suggestions too but we hope to preserve a shade of blue as one of the primary colors. Black and white would be okay too, as we are already using some graphics like that (see attached files below).
Having a look around the social networking apps, most have only letters in their icons which could be a nice thing - perhaps the letter G being drawn by a brush. We would like the icon to be related to painting in some way, maybe a few brushes with some strokes, or a color palette.
Another option could be some brushes with a painting behind them but that has to be clear enough to be seen on the small phone/tablet screens.