You want the genuine shop manual from Suzuki ... you can order it at the dealership.
I was in the same boat with my Honda Shadow ... first-time motorcycle owner. However, I have a degree in electrical engineering and as part of that process I've had materials classes and statics and dynamics.
I do have a few words of advice for you ...
First, stay away from expensive areas of the bike until you are sure what you are doing. If you adjust the chain slack or something like that and make a mistake, the WORST you can normally do is screw up an axle or a swingarm or something like that that is not too involved to have the dealership replace.
But as you get closer to the engine, be cautious. For example, if you ever were to strip out spark plug threads, it gets very expensive.
Second, if there is a routine procedure you'd like to perform yourself (such as an oil change), seek advice from the mechanics at the dealership. Typically, they are willing to help. Just tell them flat out that you'd like to do your own oil changes and ask if you can watch them do it.
Third, stay away from safety-critical areas of the bike until you know what you are doing. Don't do your own brake pads, for example, without first watching a mechanic do it and reading everything related in the shop manual. Same for steering head bearings.
Fourth, if you spot anything suspicious, run the bike into the dealer. Suspicious items might be a fluid leak, odd handling, odd noises, discoloration of an axle, etc.
Fifth, you can take advantage of maintenance forums or general motorcycle newsgroups such as rec.motorcycles.
You might also find this set of pages interesting:
Dan's Motorcycle Repair & Engine Repair Information Guide
I would also recommend taking materials and statics classes at a local university. You want to understand stress, strain, torque, fatigue, and how forces are transferred.