A lot of apps are retina now. The entire web is also retina.
Only about less than 100 apps have been updated to support the Retina Display on the new iPad. That's less than 0.1% of the App Store, unless you count iPhone Retina apps, but those look horrible on the new iPad. And not all "updated" apps are properly updated. Take magazines, for instance. By "updated", they mean they are just scaling the fonts properly. Their interface graphics and photo are still formatted for 1024 x 768.
The entire web is definitely NOT Retina where graphics are concerned. Forums are close to Retina, but as soon as you see a logo or a photo of something, it'll dawn pretty soon that the web has a long way to go.
That and the fact that font rendering technique has changed with the iPad 3 is a cause for concern. The iPhone Retina display didn't change font rendering technique, so fonts looked the same size.
On the other hand, fonts on the iPad 3 seem to be rendered at a slightly smaller size. This is very apparent if you were to put both the iPad 2 and iPad 3 together. The iPad 2 has bolder fonts, with thicker lines, and it is generally easier to see whereas on the iPad 3, despite the higher resolution screen, lines are thinner, texts are thinner, and it's really hard to read from a distance.
The iPhone has the boldest font out of the 3, and I generally prefer bolder fonts over thinner ones. The iPad 3 seems like ClearType on steroid where fonts are concerned.