Take the Aerocity van service from the front of the terminal directly to you hotel (Hostal Acuplco perhaps?) It will deliver you to your front door. As you leave the secured luggage area to the main area of the terminal, take the :Nothing to declare" door, and turn right. You will pass a Pharmcia on the right and then there is a large fast food type restaurant. Stop and get a glass of juice or coffee. In front of the restaurant toward the exit doors you will see various booths ... cars, taxi, etc. Look for the Aerocity Van Booth. It is one of the smaller ones. They will order a van for you. It may or may not stop to get other passengers at other terminals. Either way it is a good ride. There is a web site where you can purchase in advance and save an euro or two. You will need you flight information to make the purchase.
Alternatively you could take the train, but it will be an unfamiliar journey and you will be about one plus block from the hotel.
The restaurant on the Plaza Carmen, is excellent. Garbo's is the name.. Also,there is an adajacent hotel (in which you may be staying) that has a good breakfast bar. Walk down the hill, turn left and in a couple of blocks you are at Puerta del sol...the center of the tourist area.