It may be helpful in your case to acquire some sort of modeling engine so you can create the chess pieces. Also the chessboard is as simple as pasting a checkerboard texture onto a flat square.
If you need help with this take a look at learning OpenGL. There are plenty of sources regarding this, and I recommend swiftless tutorials online. This really helped me learn the basics. After that you'll want to know how Android can harness OpenGL. I've found some sources online, but there are several books for Android that explain this.
To be honest I'm not sure how much you know, since the post wasn't too descriptive, but you'll want to learn how to point to arrays containing vertex/index/texture coordinate data so that you can draw your models. Again, I reccomend a modeler for the chess pieces. But if you don't want to invest in one, or can't find a good free one. Simple geometry could be used to replace it... Or better yet you can create Images that always face the screen. All you need for that is Paint.NET or photoshop.
So you should start by learning
Don't fret if OpenGL is hard to understand at first. Keep persevering, and you'll find yourself very far down the learning road.