For Jenn Tran, the first Asian American star of “The Bachelorette,” Monday’s premiere felt “surreal” and emotional when she saw glimpses of her mother and her brother on screen. 

“What really hit me was seeing my family on TV,” Tran, 26, said in an interview. “My Vietnamese culture is being present, and there’s Vietnamese food being mentioned. And then my mom speaks Vietnamese. … Things like that have always felt so close to me, but they’ve always only been in my home,…