In addition to adding support for the new inbox, the update also brings enhanced notification options, allowing users to select the type of notifications that they want to receive.
New notifications options: Get notified for all messages, only important messages, or none at all, on a per account basis. Customize these settings from the in-app settings page.Gmail for iOS is a universal app that can be downloaded from the App Store. [Direct Link]
Meet the new inbox: If you've enabled the new inbox, your mail is now grouped into categories so that you can see what's new at a glance and decide which emails you want to read when. Primary mail is shown first and it's easy to access and keep track of email in other categories by opening the menu. Configure this feature by going to Gmail.com on your computer.