You could start with looking at this file on GitHub. It has a routine to convert a CGPathRef to the d attribute of an SVG Path. I wrote it.
The class method's signature is +(NSString*) svgPathFromCGPath:(CGPathRef)aPath;
[Update: Added code snippet below]
#import "SVGPathGenerator.h"
...
CGMutablePathRef pathToBuild = CGPathCreateMutable();
CGPathMoveToPoint(pathToBuild, nil, 10, 10);
CGPathAddQuadCurveToPoint(pathToBuild, nil, 20, 0, 30, 40);
CGPathAddCurveToPoint(pathToBuild, nil, 20, 40, 40, 30, 100, 90);
CGPathAddLineToPoint(pathToBuild, nil, 50, 100);
NSString* aDAttribute = [SVGPathGenerator svgPathFromCGPath:pathToBuild];
NSLog(@"%@",aDAttribute);
Outputs:
M10.0 10.0Q20.0 0.0 30.0 40.0C20.0 40.0 40.0 30.0 100.0 90.0L50.0 100.0
Note, the output will not have a close correspondence if you add arcs, as arcs in SVG and arcs in Quartz are described quite differently.
If you want to output it to a simple SVG file, well then you could do something like:
CGRect boundingBox = CGPathGetPathBoundingBox(pathToBuild);
NSString* svgAsString = [NSString stringWithFormat:@" <?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewport-fill="none" viewBox="%lf, %lf, %lf, %lf" version="1.1" height="%lf" width="%lf" >
<path fill="none" stroke="green" d="%@" />
</svg>",
boundingBox.origin.x, boundingBox.origin.y, boundingBox.size.width, boundingBox.size.height, boundingBox.size.height, boundingBox.size.width, aDAttribute
];
NSData* utf8Data = [svgAsString dataUsingEncoding:NSUTF8StringEncoding];
[utf8Data writeToFile:pathToFile atomically:YES];
(I have not compiled this code).