There are some generic online tutorials that would help you get the basics down. For instance,
LV Mastery
The framework style has changed a little bit each year, so some of the videos are dated. They all work, and the LabVIEW they teach is all valid, it's just that the default FRC framework they start with and modify is no longer in use.
When FRC first switched to LabVIEW we used the generic student version for initial training, since the official FRC version hadn't been released. That'll give you some basic competence on a PC without the specialized FRC palettes or a control system. Testing FRC specific code can't be done without a control system anyway.
Here is the workshop material run by local NI reps:
Beginner presentation
Workshop guide
Workshop solutions
After you gain a basic understanding of dataflow vs. procedural you can take a look at the online tutorials by:
FRC Mastery videos
NI tutorials