The first periodic inspection depends on the vehicle type and its date of registration.
You can view the frequencies here: Frequency
The date of registration can be found on the registration certificate.
To check the expiry date of its previous periodic inspection (before which you must go to your inspection center):
These are the license plates of cars that must undergo their first inspection during the months of 2013.
ITV Catalunya -
ITV Barcelona -
ITV Tenerife -
ITV Las Palmas -
ITV Vizcaya -
ITV Sabadell -
ITV Madrid -
ITV Pinto -
ITV Alcobendas -
ITV Zaragoza -
ITV Lleida - ITV Tarragona - ITV Alicante - ITV Canarias - ITV Seseña - ITV Ciempozuelos - ITV San Martín de la Vega - ITV Getafe - ITV Madrid Sur -
ITV Tres Cantos - ITV Barajas - ITV Moraleja - ITV Cobeña - ITV Sanchinarro - ITV Madrid Norte