The dryer uses a hot surface ignitor to light the gas. It's common for these to go bad, and fairly easy to replace (although it means taking the whole front off of this model, if I remember correctly). A new ignitor is around $40, available online and any well-stocked appliance parts store.
There are other possible causes for the gas not to come on, but the ignitor is most likely. It can be checked with an ohmmeter if there are no obvious breaks. This site has good pictures of how to take the machine apart if you want to try repairing this yourself. (It's the procedure for changing a belt, but the steps are the same for removing the front. Your model doesn't have a separate kick panel that comes off, I believe. If I'm wrong then the job is easier since you can reach the ignitor that way.)
Good luck with the repair, and thanks for using Fixya!
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