A Website? To save a web page is simple with iOS or Mac OS. You can either export the web page into a pdf, or print it, and tell it to print a pdf. You can then export the pdf into books, send it as an attachment in a mail, or just save it as a file... Both in iOS and Mac OS. You can switch on reading mode for most of the web pages, so you do not get most of the ads, just the pure content. That before the saving. These above are built in possibilities created by Apple. A website has lots of apparent or not apparent links to other pages, it is not a simple task to save a full website. You would need to find an app doing that type of saving. It will go through the web pages and save or print each one one by one.
A web page may look like an app is working in the background. This is happening due to Safari sending the webpage to the app. Safari is automatically checking for the latest version of your app and can load the best in the store. This was an awesome feature from iOS. Now iOS 6 takes it to the next level. You will be able to save to PDF and view the files in iCloud Drive, even with apps like Facebook or Twitter. Safari now looks like Google Chrome. A web browser in iPhone Safari does exactly the same job as Google Chrome. This looks like a normal application with a few extra options included. You can see the history for the web pages, they will be printed on the page. This can be handy in an emergency. You can also send the file directly to email or your favorite social network. This is.