While there are no Runes or new abilities to unlock, as always you'll get a Spirit Orb for your trouble, so get stacking for one of the game's most useful currencies.
The challenge inside, named Metal Connections trial, is centered around moving metal boxes with your Magnesis rune ability, giving you a chance to play around with the game's physics. Wahgo Katta is one of the many Shrines located throughout Zelda: Breath of the Wild.