Answer: It sounds like you're on the right track for a successful compost bin. You need both green (nitrogen) and brown (carbon) materials, which you've included with your grass clippings and shredded paper. You'll want to turn the materials once or twice a week to keep it cooking. If you haven't already, sprinkle in a shovelful of garden soil to get things going - it contains microbes and will kick-start the decomposition process. You can add plant material that you've pruned off your plants and kitchen scraps (no meat, grease, etc.) to the bin as additional compostable material. As long as you turn it periodically it will decompose and provide you with an excellent soil amendment.
Best wishes with your compost!
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