I can only offer sympathy for your confusion. However, if you ask a decent question, I can try to answer.
If you have an Android device, you must have a Google account in order to operate it. Usually, it's a gmail.com account. If you're using the Google play store, then use that login and password. None of the links I provided in my previous rant will work without being logged into a Google account.
Your phone signs in to your Google account automagically when you are online. None of the Google apps and many of the Android features will not work if you fail to login.
If you turn OFF syncing contacts, email, settings, etc to the Google cloud, as was previous described, you will NOT be syncing anything to Google. However, you may still be logging into your Google account when you connect to the internet.
Bottom line: You cannot effectively use your Android phone if you do NOT have a working Google account.
Sometimes, I wonder if even Google understands their own products.