/diy/ - Do It Yourself

I want to try fixing my rifle stock, even though I've never worked with wood before. Note the damage where the receiver contacts the wood. The proper method is to insert a block of wood there, no way I can pull that off. People also suggest bedding compound which I don't have and seems harder to work with. But I've been told that wood glue is stronger than wood. So could I use glue to fill in where the wood has chipped away?