>       myElevation = myFeature.GetGeometryRef().getZ(0)
> -----------
> 
> But I get an "AttributeError: getZ" error when executing it.

The method name is GetZ(). And due to how the memory management of the python 
bindings work, I'd encourage you storing the geometry in a temporary variable 
before calling GetZ()

myGeom = myFeature.GetGeometryRef()
myElevation = myGeom.GetZ()
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