It's stated on the
product page:
Quote:
WebKit-Based Browser
Kindle Paperwhite 3G's experimental web browser is based on WebKit. It's easy to find the information you're looking for right from your Kindle Paperwhite 3G. Kindle Paperwhite 3G enables you to connect to the Kindle Store and access Wikipedia - all over 3G or Wi-Fi. Experimental web browsing on other websites is only available over Wi-Fi.
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As far as whether or not jailbreaking can "fix" this, from what I understand, all Kindle traffic is routed through Amazon's servers and will deny 3G access for anything other than Wikipedia or Amazon.