They ultimately start dating in episode five. They are still not together at the conclusion of the episode, but they reach an agreement, and Shawn says he will wait however long it takes. Shawn has yet to break his promise and commit to a time frame, but Juliet has been very patient about it. She even wrote a song about it called "I Will Wait." They have been dating for almost three years now, and some fans speculate that they may get married soon. However, this information is just a guess on their part. Shawn has never talked about his relationship with Juliet on camera, so we don't know how much she means to him or if he cares about her opinion on any matter. But we do know that he wants what's best for her and would never put her through anything that could hurt her. He also seems to be completely smitten by her beauty and talent as a musician. So, based on all this evidence, it can be concluded that Shawn and Juliet will one day get married.