OK, so the burner on the right does not even sound like its getting gas, is this correct?
If so pop the cover open on the stove top, usually (I think) push back on the top, while pushing up.
Oh you will need to purchase a BBQ grill pipe cleaner or something similar.
With the eyes off run the cleaner thru the tubes for the burner, you may have a nest of some sort in there stopping gas flow.
Here are some other things you can do.
Also listen try listening very closely to determine if there is flow to that burner.
Do you smell gas when you turn it on? If so attempt to light with a match or lighter. If that works then check the igniter to see if that one is actually sparking. It could be bad or need adjusting.
Just a few things to check, good luck and keep us informed.
Retired Navy Submariner
2014 Itasca Sunstar 35F; 5 Star tuned; 2014 Jeep Cherokee TrailHawk