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HBD = Hive Backed Dollars

Suppose to be and does a darn good job at being 1:1 with USD.

Blog Rewards are paid out in both Hive and HBD.

it's Hive Backed Dollar, supposed to be equal to $1. The stable coin of hive blockchain.

Inleo is a L2 chain of HIVE (peakd.com and other frontends). If you write a thread or a post on #Inleo, you are paid in $LEO, $HIVE and $HBD. I can recommend a Leo glossary page to see more info of HIVE/LEO ecosystem and whole lot of the other stuff.