Matt does not create the episodes so he uses nothing. If by chance you're referring to the original concept drawings, it's safe to assume he used a pen/pencil & paper.
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The Simpsons creator Matt Groening is 63 years old (birthdate: February 15, 1954).
If you meant to spell "Simpsons", Matt Groening created the television series "The Simpsons"
His family inspired him in creating The Simpsons which is why they are named after them.
Matt Groening created them and he & producer James L. Brooks turned Matt's characters into a series.
As of 01|01|2015, No, Matt Groening is alive.