The bus goes from the road that looks a bit like a tunnel outside the airport. Nominally every 30 minutes or so but the timetables are not actually adhered to very well.
As you come out of the terminal onto the road, walk towards the far right hand end of the tunnel and you will see the bus stop close to the end and probably a number of people hanging around, and if you're lucky, a bus waiting. Not often though. Usually there is quite a wait but the bus is much cheaper than a taxi.
It takes about 25 minutes to Santa Justa rail station on a bad (normal) day, otherwise 15 minutes or so, and then goes through Macarena to the terminus at Prado de San Sebastion, which is always called just Prado by the Sevillians.
Get on the bus at the airport, just say "Prado" to the driver , pronounced "Prardo" with a short roll on the first 'r' and a very short 'o' at the end, give up the 3 Euros or so, and you'll be like a local.
The Prado stop is right outside the University, which used to be a tobacco factory.
I have done it in 20 minutes to Prado on the bus, on a good day. On a bad day, take a book.
Hence, the bad timekeeping of buses at the airport, since the bus returns there after a few minutes wait.
The fare is around 3 Euros one way.
Prado de San Sebastion is a major bus terminal, one of two in Seville, five minutes walk away across the huge main road...like a boulevard...and has a stop for the new Metro overground railway that serves a number of destinations around the city.
http://www.urbanrail.net/eu/sev/sevilla.… . . .
From Prado you can get the Metro to the central shopping area, Plaza de Encarnation, the Cathedral (it goes right past there, along the road at the back of the Cathedral), Siepes (one of the best shopping streets),etc, or by walking through the Alcazar gardens....Jardines Reales Alcazares, which is a delightful walk and will take around twenty minutes to get to the Cathedral.
More on Seville from a few lines down on the first link, and Seville with other attractions in Spain on the second.
http://feu.answers.yahoo.com/question/in… . . .
http://uk.answers.yahoo.com/question/ind… . . . .
The prime internet resource for Andalucia is Andalucia.com which is a very comprehensive site.
The Seville section is here
http://www.andalucia.com/cities/sevilla.… . . .
In the tobacco factory, in a past age, a pretty, inspiring, and fiery gypsy girl worked long hours rolling cigars. Out of working hours she was a siren, a femme fatale, and lost her life because of it..
Her story was told to Merimee on his travels through Andalucia, who wrote it into a novella which was later set as an opera by Bizet.
She is now known by millions as the charming but dangerous, captivating but deadly ....Carmen.
She really existed.
http://www.youtube.com/watch?v=Gd0FNpiBD… . . . . .
Seville has been the setting for three major operas, including of course Rossini's The Barber of Seville.
The tobacco factory is a charming building, very large, and is signposted as 'The Tobacco Factory' as well as 'The University'.It's worth a look inside.
Free to walk in. It's a Uni. Lovely quad inside, and the building is good too.
http://www.sevilla5.com/monuments/univer… . . . . .
Map here. Click + three or four times for a decent scale and then you will see Prado de San Sebastion at 5 o'clock from the 'A' marker, and the airport to the top right from it.
http://maps.google.com/maps?q=seville+ma… . . . .

