hodephinitely,
Thanks for getting in touch! You should be able to use the tribe_get_event_taxonomy() function to return a unordered list of Categories for the event. If you want an array of the Event Categories, then you’d need to use the wp_get_post_terms() function and use ‘tribe_events_cat’ as the taxonomy parameter like this:
$event_cat_array = wp_get_post_terms( get_the_ID(), 'tribe_events_cat' );
Hopefully that should point you in the right direction, but let me know if I can help further. Thanks! 🙂
-Casey-