Hi,
The plugin does create a Category View for each Event Category with the main views of month, list, map, etc…
For example if you have an event category of Lettuce the url is this:
yoursite.com/events/category/lettuce/
So that is one way to show only events from one category in the main views and you can link directly to any of those.
Those views also show past events. So that could be one way to do it.
Another is to create a custom loop with tribe_get_events():
Using tribe_get_events
Let me know if you have any follow up questions.
Thanks