Go to settings > mail> add account > for JCS mail choose GMAIL account and type in your full email address> server is m.google.com> username is your full email address> type in your email password> nothing for domain > name is YOUR NAME> description is JCS.
To sync additional emails like a personal Gmail, just select Gmail and type in your username and password.
All your emails will appear in the Mail app on the phone.
To sync your calendars, go to https://www.google.com/calendar/syncselect on the specific device you want your calendars to appear on. So, go to https://www.google.com/calendar/syncselect on your iPhone and select the calendars you want to sync.