No. When you make a reservation via Iberia.com, the price that is shown includes airport taxes.
Please remember that if you choose the reservation option, the reservation will be held for 48 hours, during which they can be purchased at any time by visiting the home page and selecting Manage your booking. If you prefer you can buy your ticket (s) at any Iberia office or Travel Agency. If you choose this latter option, every agency will apply its own table of ticketing fees.
If this period expires without confirming the purchase, the reservation will be cancelled without any charge being made to your card.
If you decide to buy the ticket, the issuing of the ticket (s) and charging to your card are performed automatically.