This is a Huawei U8825D/G330D running Android 4.0.4 on a contract with China Unicom. I have used two Android phones in the past, and was always able to sync all my Google services by logging into a Google account on my Android, but I haven't been able to add a Google account on this Huawei phone.
I tried going to Settings > Accounts and Sync > Add an Account, but the only types of accounts available for adding in the menu are Huawei Cloud+, Company, Email, and Wandoujia (an app store service popular in China). There is no option to add a Google account. This doesn't only create the problem of not being able to sync Google services - without a Google account enabled on this phone, I cannot even open Google Play store, Gmail, and the like. I am able to install these apps on the phone, but when I click on them, a screen (of the background frame of, say, the Play store) would briefly show up before the app closing itself in a moment. I tried restoring the phone to factory settings but it has not worked.