Included in the update is a new “Activity” stream within the Discover tab. The blog post explained:
With this update, you can see Activity on Twitter for iPhone and Twitter for Android. Activity is a stream of updates that shows which Tweets are favorited or retweeted by the people you follow and which accounts those people follow or add to lists… Activity appears below the redesigned stories in Discover. Now you can tap any story once to see Tweets about a particular trend or news article. You can then read the entire story or join the conversation by replying, retweeting or favoriting related Tweets.
Improvements to search include suggestions for spelling and related terms, autocomplete for first and last names in the Connect tab, access to your most recent queries in the Discover tab, and the ability to jump directly to a user profile by tapping usernames in Connect.
The update also brings push notifications for Interactions like retweets, favorites, and follows, and settings to manage them. You will be able to get all these new features when the update lands in the App Store shortly.