When it comes to Gmail addresses, the dots or full stops in the username are irrelevant to where the email is delivered.
For example, it doesn’t matter whether the email is addressed to email@example.com or firstname.lastname@example.org both will be delivered to the same mailbox.
As Google explains on its support blog, every e-mail address is unique. People can’t set up an identical account by using a different number or placement of dots, it says.
In addition, it doesn’t matter if the e-mail is addressed with @googlemail.com at the end or just @gmail.com it will end up in the right inbox, according to the blog. dpa.