The city of Barcelona has a great English-language website that tells you all the ways (and the prices) to get to and from the airport: http://www.bcn.es/turisme/english/turisme/turisme_aeroport.html
Just looked up your hotel and it's not actually in Barcelona. Are you going to be renting a car? Are you going to be there on business near the hotel?
If you chose the hotel because it's cheap, you'd do just as well to stay in a hostel or pension in Barcelona.
Hostelworld has listings for hostels in Barcelona: http://www.hostelworld.com/hostels/Barcelona
And to find a pension, check a guidebook or do a web search using the terms "pension barcelona".
Good luck!
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