Wander (verb):
To move around slowly without a specific purpose or direction (भटकना/घूमना)
"Wander" involves physical movement.
Example :
I like to wander around the old city.
My mind started to wander. (meaning my thoughts became unfocused).
Wonder (verb/noun):
To think about something with curiosity or amazement (आश्चर्य)
"Wonder" is a mental state.
Example:
I wonder what will happen tomorrow.
I wonder why he did that. (meaning I am curious).