It's not even clear yet whether exposure to this virus confers immunity, nor how long such immunity would last if it does exist.
From the newest episode of This Week in Virology[1]:
Daniel Griffin: The tough thing, right, is that if you look at the "common" coronaviruses, they don't give us long-lasting immunity. Traditionally you could be reinfected multiple times in the same year. ... We've known this for the other coronaviruses, that if you get OC43 or 229e or any of the other, you don't get lifelong immunity, you can get sick again, and it's not clear that that second infection is milder than the first. My word of caution is to be careful about, you know, when we hear that 5 or 10 percent of the population is seropositive, I don't know what that means yet.
[1] - starting at about 14'34" in to episode 638: https://www.microbe.tv/twiv/twiv-638/