Does Bitcoin Core support HD wallet? Does Bitcoin Core (bitcoind or bitcoin-cli) support HD wallet?

Can Bitcoin Core ...

Q1. create HD wallets?
Q2. import HD wallets from other wallet software?
Q3. watch HD wallet? (watch transaction or notify changes)
create HD wallets?


No, but this is something being worked on.


  import HD wallets from other wallet software?


No, HD wallets being transportable between software like this is unlikely due to the wide range of implementations. An Electrum seed is unlike an Armory seed is unlike a Bread wallet seed. 


  watch HD wallet? (watch transaction or notify changes)


Only if you importaddress for a large number of future addresses which is cumbersome.