Yes, it would appear gmail assigned you a new account.
the NEW account from Google:
- Sign in to the NEW account at accounts.google.com.
- At the top, click Data tools.
- In the Data Tools box, click Delete products.
- Click Remove Gmail permanently.
Now, to get into your OLD gmail account through your new smart phone, you first need to delete the NEW gmail account from the phone. I do not know what kind of phone it is, so I suggest you go into the store where you purchased the phone and ask for assistance.
Apparently, incorrect selections were made while attempting to put your OLD gmail account into the phone, and Google assigned you a gmail account based on your name. It is similar to the old account name.
The specifics of your phone's operating system prevent me from knowing how to properly help you. But it's obvious you need to delete the NEW gmail account, install the OLD gmail account, so when you tap the gmail icon, you get what you want. The people who sold you the phone will be able to help you the best.
Sorry I couldn't do more.