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Before you take anything apart, try the simplest thing first: light the stove with a regular lighter or matches directly at the flame opening. If that works, the problem's with the electrical ignition system. If that doesn't work either, then there really is something wrong with the gas supply - and the others are totally right with their tips.
What I'd add: check out the contact point on the spark plug (that little ceramic nozzle that creates the spark). With me, the problem was simple once - the contacts were just completely caked up and dirty. I wiped it over with a dry cloth and then polished it really gently with some fine sandpaper. After that it ignited like new again. Might save you an expensive repair appointment.
If that doesn't help either and you've checked everything else, then you really do need a technician. Sometimes the ignition system is just worn out and can't be repaired anymore - then you'll have to get it replaced or think about getting a new stove.
Don't just replace the ignition device right away, but first check whether gas is actually reaching it - sometimes the gas bottle is just empty or the valve is turned off. Also try pushing through the nozzles with a thin needle, because dirt or lime deposits can prevent ignition from working. If that doesn't help and you really hear sparks flying or no click at all when you try to light it, then the problem is probably in the ignition device itself - I'd get a technician to look at it, because you shouldn't be experimenting with that kind of thing.
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