Your iPhone's browser, Safari, does a great job of saving your internet search history and your bookmarked pages. iBackup Extractor allows you to browse through your backed up iOS device's Internet History and Bookmarks, and allows you to save these pages as links or to open them on your preferred browser on your PC or Mac.
Save iPhone internet bookmarks to computer
Download and Install iBackup Extractor.
Start up iBackup Extractor by double-clicking the iBackup Extractor icon on your desktop.
Select a backup from the list of available backups which you would like to access.
Click the Internet tab.
Select the bookmarks you would like to save, and click "Copy Shortcut"
To view the Internet data stored on your iPhone backup, click the Internet button in iBackup Extractor.
Displaying and Browsing your Internet Data
iBackup Extractor displays the backed up Bookmarks folder, as well as Safari's browsing History. Clicking on a website in the list displays the website on the right side of the window, if there is an internet connection.
You can switch between Bookmarks and History by clicking the tabs with the same name over the list. There is also a "Search Bookmarks" tab which provides you with a quicker method to find specific websites within your Bookmarks.
Saving and Opening websites
Select which website you want to access; you can now click on "Copy Shortcut" and select a destination to create a link file (.url) to the website you have selected. Alternatively, you can press "Open in Browser" to open it on your operating system's preferred web browser (such as Internet Explorer, Mozilla Firefox, Google Chrome, Safari, etc).