I was sent an email for one free year but when I sign up it gives me one week

Read here how to redeem: Apple TV+ - One Year Offer - Apple

Read here about the conditions: Apple TV+ one year offer - Terms and conditions - Apple

Read here if you have trouble redeeming: If you can't redeem your promotional trial of Apple TV+ - Apple Support

Note that the offer is tied to a purchase of a new Apple device that has the Apple TV app.

Note that the offer should be redeemed on that new device, in the TV app. Not necessarily on the device where the message was received.

Note that the offer has to be redeemed within the first three months.

Follow the instructions in the Related Article above. If you qualify but don't see the offer, click here and ask the iTunes Store staff for assistance.

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Open the appleTV app-go to Accounts and select Redeem-then sign in with your Apple ID. Once you do that, the tv app should update and will display the 1-year free subscription.