Not at all like Zelda.
It's a point and click type of thing. It's hard to explain, so I'll let wikipedia do it for me
"Professor Layton and the Curious Village (レイトン教授と不思議な町, Reiton-kyōju to Fushigi na Machi?) is a point and click adventure game with heavy puzzle elements, It was developed by Level-5 for the Nintendo DS, and it's the first installment of the Professor Layton trilogy. It combines a traditional narrative and point and click adventure mechanics with puzzle focused gameplay"
But it is fantastic. It gets 8.5/10 on metacritic.