If you pull up a mini profile (by clicking a profile pic in any of the posts) there are some badges displayed at the bottom (as long as the profile isn’t Hidden). It seems the one on the top left of the bunch tells you a user’s membership status. Ours all say ‘Basic’, but if you find Brenna’s it says ‘Leader’ in the same place. I’m guessing that the ‘Member’ Badge will go there too, but I suppose we’ll have to wait and see. (this is now confirmed) 
You can also check all of the Badges you’ve earned in:
Username → Summary → Badges
And you can see what ones are on offer (and how many and who got them) in the Badges list. 
(all the ones you’ve got are marked with a green tick in there).
ETA: You can also go to Forum Badges 
for more info.