Firstly, if you have gmail then, you have a google account.. they go hand in hand...
Secondly, whilst not for my gmail/google account but, in the case of my hotmail/microsoft account, I receive 'verification' messages on occasion (not regular but, not extremely rare either)...
I have two factor authentication running on pretty much everything, these verification messages tend to suggest that someone is indeed trying to access an account & may have successfully cracked your first level of protection, ie: your password...
When I receive these messages, I routinely change the password of the account in question so as to reinstate my two levels of protection for the account.
Hope this is helpful
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