Using Your Gmail Account
Once your Gmail account is synced up you will have the ability to perform most of the Gmail functions that you want. If you hit the pencil on paper image in the lower left hand corner you can initiate a new email message to be sent out. This is a nice addition to your Gmail account as you can select email addresses from your Contacts List to send email messages to.
If you want to delete emails you can have the option to either delete email messages altogether, or you can move them to a different location.
If you want to actually make changes to how your Gmail account is used on your iPhone then tweak its Settings. Go back to Mail, Contacts, Calendars in your iPhone Settings and then select your specific Gmail account from under Accounts. Here you will be able to view your Account Info and set your Mail, Calendars, or Notes to be synced together. This is how you can bring over your Gmail Calendars and Notes to your iPhone and sync them together. This is going to be one of the most useful ways that Gmail is utilized on your iPhone as the Calendar applications in your Gmail account have become central to a lot of planning, and now they can become central to your iPhone's own Calendar functions. You will also have to make sure that Mail is chosen if you want to actually receive your Gmail emails to your iPhone.
Push notifications will allow a text message prompt to come up, letting you know that there is new email or other Gmail activity. This is a nice feature on the iPhone and allows you to integrate your Gmail account into regular communication functions on your iPhone. To set push notifications Notifications in your iPhone Settings right under Wi-Fi. First you need to make sure that Notifications is set to On. Go back into Mail, Contacts, Calendars and make sure that Fetch New Data is set to Push, which should be your default setting.