From the terminal there will be a transport option to the city by bus, or you can order a taxi.
In Tarragona there is local commerce in the city centre, and there are two shopping malls, called El Corte Inglés and Parc Central, with F&B area, as well as several local and international brand shops.
Yes, just a 3-minute walk away you have the Port Museum (see Google Maps)
The museum presents a journey through the history of the port from the time the Romans first landed to the present day. The exhibits tell us of life on the docks, the types of fishing, sporting activities, and the vessels and cargos linked to our seas.