If your friend is a casual shooter, she probably wants a cheap and good cam and one that is small and light. Especially so since she's a lady (ok a bit of a bias here but most gals like really compact cams.) Then I'd recommend the FX30.
The Canon is slightly bulkier, heavier, more expensive, and may not have certain features that the FX30 has. Canon really ought to wake up in this aspect.
But image quality wise, the Canon is better. If your friend has a high priority on quality, go for Canon. Then again, how much is better. This one she got to decide herself. Usually, for most beginners or those who simply want to shoot for fun, they won't find the diff important or obvious.