The Murcia International Airport is located near Corvera, one of the villages that form the city of Murcia. You can find more information on the airport on their webpage.
To get from the airport to the centre of Murcia, the options are:
The airport is located at about 25 kilometres from the centre, so it is relatively fast.
The taxi will cost approximately 29€.
The bus company Interbus provides bus service from the airport until Murcia. You can find the timetable on the Airports webpage (see above).
By taking the bus, you will end at the main bus station of Murcia.