I only want to buy two knives, which two types to get?
I recommend that you get a chef's knife or a santoku (both are general purpose knives), and a paring knife.  For most western cooks who will be learning from western examples, the chef's knife may be the better choice.  

These two knives will cover most needs.  See:

Which knife is best for somone just learning to cook?

If you were to add a third knife, a serrated bread knife can be very useful for certain tasks (like bread, and perhaps unexpectedly, chopping chocolate).