Extraordinary Means by Robyn Schneider
The most important things in Lane's life are getting perfect grades and getting into the best college, until he finds out he has an incurable strain of tuberculosis. He is sent to Latham House, a sanatorium for dying teens with bizarre rules and unique characters. It's here that Lane reconnects with Sadie, a girl he was once transfixed with at summer camp years ago. Now Lane and Sadie find themselves falling in love and redefining who they really are during what are probably the last few weeks of their lives.