There's several camera and photography stores in the "Westbahnstraße", you can even get accessories and darkroom supplies there. Then there's photophilia nearby in the Lindengasse (http://www.photophilia.at/) - you can order at fotofachversand.com and choose to pick your stuff up there. They also have darkrooms you can use if you ask nicely. We currently have an exhibition on their premises and there's a monthly film-photography meeting there (see website for details, though you might have to use google's translation service ).
As far as development is concerned - if you don't want to do it yourself - I can recommend http://www.cyberlab.at/ - they even offer customised b&w hand development. If you want it done for cheap, you can get your film processed at pretty much every grocery and drugstore where they have a photo-booth. They send them off to big labs so it usually takes about a week before you get your prints back. However DO NOT let these stores develop traditional b&w film as they do not run customised development.