Answer to Question 1
As the price of a good changes the consumer's budget constraint changes. Thus, it is possible to see how the consumer changes his utility-maximizing choice. This will give us his new quantity demanded at each price.
Answer to Question 2
The indifference curves would be L-shaped. The reasoning is that one good must be accompanied by the other good in order to give the first any utility. Having more of the second good however, doesn't make the person any better off.