Firstly CONGRATULATIONS - you've picked a lovely destination.
Secondly, AIRPORT TRANSFERS - have a look at the Seville Airport website, where you might find details of how to get to the hotel or city centre from the airport, or details of what you might expect the taxi fare to be.
Thirdly, THINGS TO SEE - first of all, try the Tourist Information website. But do consider - the cathedral, the Alcazar, the gardens of the Alhambra, the Church of the Macarena, the Old Quarter (Santa Cruz), the old roman ruins outside the city, the Giralda tower amongst others, and just wander around the old town and get nicely lost! Recommended are Churros and Chocolate (extruded long doughnuts, deep-fried, and dipped in a hot choc sauce), Tortilla (spanish potato omelette), cold dry Fino sherry - preferably with salted almonds, and plenty of the local wines!!
Prices go up wildly in the SEMANA SANTA (the week containing Good Friday) and the FERIA (Horseriders with traditional costumes) and it is BAKING HOT IN SUMMER. Please don't underestimate the heat as Seville is usually the hottest place in Spain, so drink lots of water and cover up against sunburn!!
But have a wonderful time and enjoy yourself!