There are a number of apps that will allow you to save and manipulate web pages.
Evernote is probably the best option. It's a very versatile program that will allow you to fully save and edit any web page. It will also allow you to sync everything you save between your iPad and your computer. You can also share saved and edited files with others. Highly recommended!
Here's a video introduction:
[ame=http://www.youtube.com/watch?v=IHeVZvnCjNA]YouTube - Evernote Tutorial‏[/ame]
Additionally you can save any web page image by pressing and holding your finger on the image and clicking on "Save image" on the popup. The image will be saved to your Photos app.
Similarly if you want to save specific text, tap and hold your finger on the text you'd like to save and a magnifying glass will appear. Release your finger and two bars will appear with one word highlighted. Simply move the bars to the left and right until you've covered the text you want to save. Click on "Save" and it's on your clipboard. You can then paste it into another program (Pages, etc.) where you want save it. You can touch and hold your finger anywhere on a web page, hold it and the entire page will have a blue mask. Click on "Save" and all of the text on the web page will be saved on your clipboard.
In addition to saving web pages as .pdf's as Tim suggests with
GoodReader (also a terrific program), the app
Offline Pages allows you to save a full web page for later viewing. Here's a web tutorial:
[ame=http://www.youtube.com/watch?v=EWnQF6LddSI]YouTube - Apple iPad Tip - How To Save Web Pages for Offline Viewing‏[/ame]
Overall however
Evernote is probably what you're looking for.
That's been my experience and others may chime in with theirs. Hope that helps and enjoy your new iPad!