No, the airport bus in Sevilla doesn't go near C. Gravina 27. If you look at the streets in the
itinerrario, (Pedro de Castro, Carlos V etc.) on
LaNetro Street Directory , they're all south and east of Pta. de Jerez. You could still take the
airport bus in Sevilla. At
Sevilla bus , you can see the shortest route from Pta. de Jerez to Pla. Armas on the C3 (on these maps, east is at the top). You'd catch it on Avda. Gral Sanjuro, at the bus stop (black triangle)
map , just SW of Pta. de Jerez. The bus crosses the river
map , then crosses it again
map , where you could get off just as it makes a left at the Estacion de autobus. Or you could just take a cab from Pta. de Jerez. The C3-C4 will take you to the bus station to Granda, too ( Estación autobuses El Prado San Sebastián).
map . The airport bus is €2.30, the C3 is €1.00. Circular3 runs every 5-9 minutes
(schedule). In Granada, Line 3 runs from the bus station, past the train station, to the Plaza Isabel La Catolica, at the
Gran Via Stop 1. (Expand in lower right corner). Line 31 runs around the Albaicin. Here's
Granada bus info. Costs €0,850. There's also an
airport bus (bottom of page) in Granada, €2,50.