Safari is well known as the browser for the folks over at Apple which is automatically included in all their products but for the iPad experience, I suggest looking into a few options in the App Store. Two in particular have caught my eye because the added features.
PERFECT Web Browser has REAL-Tabs, Desktop Browser Rendering, TOUCH Scroll, TV Video Out, Offline Pages, Private Mode, Precision Scrollbar, Printing, Multi-Touch Gestures, Fast Tab Switching, In-Page Search, Font Size Adjustment, Web Compression & more. For all those features, I think the $3.99 price is definitely worth the price.
If you’re looking for something a little cheaper but with most of the features as PERFECT, then check out Atomic Web Browser. For only a buck, you can Experience desktop features including Adblock, Tabs, MultiTouch Gestures, User Agent Switcher, Passcode Lock, Facebook/Twitter integration, Save Page, Downloads, and much more. And by the way, this little nifty app has a lite version for you to try for FREE.