Yes- they have standing pilots for the top 4 burners- which means there's always a small flame going. It's usually under the white top plate that sits between the 4 burners. That pilot or maybe 2 pilots feed into each burner. The center section will stay warm, you don't want to put your hand on it, it's a good place to warm or melt butter.
You can also turn the gas to the top pilot light(s) completely off. There's a screw that shuts that flow off. Also underneath the top enameled plate, and behind the knobs. Then you have to manually light each burner with a lighter/sparker/match each time you go to use a burner.
Anytime the gas is turned off outside the range, the top pilot and the oven pilot will need to be re-lit.
The oven usually has a pilot flame too. You'd have to take the broiler drawer out, and the racks and oven floor out to check it out. To find the oven pilot you'll need a good flashlight, and (with the gas off of course) you'll be looking for a tiny tube near the main burner- sometimes it's at the very back.
All ovens have a temperature thermostat... usually made by "Robert Shaw"
If the oven has a pilot, it will also have a thermocouple. This detects that the pilot flame is hot before allowing gas to flow to the main oven burner.
Top burners don't have thermocouples or thermostats, only the oven has those.
The oven burner itself is probably cast iron, and it will have a flow valve (orifice) and air shutter adjustment right where the burner attaches to the oven wall usually on one side. These sometimes need cleaning out.
Q