MM status isn't shown explicitly anywhere on the account history page on the DL website. It only shows where your Million Miler miles number appears.

Eventually you'll get the MM luggage tags, card, and drink coupons in the mail, but MM status really makes no difference if you're already at least silver.

You should also get an email regarding ordering the MM gift through the website, although you might be able to do this earlier from the website. Just try your number and see if it works if you're impatient.