conjunctions - "... to apply for a visa" or "... and applied for a visa"?

Here are two sentences:

1. 
   

   Once he got the passport, he went to the Chinese consulate in Toronto and applied for a visa.

   
   


2. 
   

   Once he got the passport, he went to the Chinese consulate in Toronto to apply for a visa.

   
   

Are the two sentences grammatical, and do they sound natural?

If they are both fine, what's the difference?