A nice little airport actually in Fertilia rather than Alghero. It has been recently expanded and a new arrivals hall should be opening shortly. Arrivals are straightforward both Schengen and non-Schengen. There are two belts for luggage and then you are straight out to the arrivals hall. Car rental desks are opposite where you come out and there are a couple of cash machines as well as a bar and a few shops. At the bar you pay at the cash register then take the receipt to the bar. Apart from the car rentals there are taxis just outside arrivals although these are pricey (about 20 Euro to the centre of town). It's about 12km to Alghero. Another option is to turn right and cross the parking lot. About 100 metres away are bus stops with orange buses running to Alghero and other buses heading to Sassari and Cagliari. Buy tickets for the Alghero buses at the souvenir shop (about 70 cents) in the terminal. If this is closed ride the bus anyway. The driver will sometimes stop for you to buy tickets sometimes not. Departures is equally straightforward at the other end of the terminal from arrivals. Note though that there is absolutely nothing to do airside so don't go through too soon. Non-Schengen international flights (e.g. to the UK) all leave from gate 1 and you have to queue for passport checks before you are allowed in to the gate area. The immigration officers usually arrive about 30 minutes before the flight.