Im sure you have already tried these, but I just had to put them out there to make sure. Not everyone has found the same solution to this problem.
1. Delete the gmail account on the iphone
- recreate the account, NOT Selecting GOOGLE as the mail choice, select OTHER and insert the email account information manually.
- These are the settings I know work on the iPhone 5 with iOS 7.0.6:
A. Input Name: "Your Name"
B. Input Email: "Your gmail email address"
C. Input Password: "Your gmail email password"
D. Input Description: "Anything to distinguish this gmail from your other email accounts"
E. Select "IMAP" at the top.
F. Input Incomming Mail Server info:
- Host Name: "imap.gmail.com"
- Username: "full gmail email address"
- Password: "gmail password"
G. Input Outgoing Mail Server:
- Host Name: "smtp.gmail.com"
- Username: "full gmail email address"
- Password: "gmail password"
H. Tap "Next"
I. Tap "Save"
Let me know if this doesn't work for you.