Part of this being a hipster thing is knowing stuff, so pay attention to this Wikipedia bit:
Bon Iver( /boʊn iːˈvɛər/ bone ee-VARE) is a folk band founded in 2007 by American indie folk singer-songwriter Justin Vernon. It includes Michael Noyce, Sean Carey, and Matthew McCaughan. Vernon released Bon Iver’s debut album, For Emma, Forever Ago independently in July 2007. The majority of that album was recorded while Vernon spent three months in a remote cabin in northwestern Wisconsin. Bon Iver won the 2012 Grammy Award for Best New Artist and Grammy Award for Best Alternative Music Album for their self-titled album.  The name Bon Iver is derived from the French phrase bon hiver (French pronunciation: [bɔn‿ivɛːʁ]), meaning “good winter” or “have a good winter”.
So first of all, you pronounce Bone Ee-Vare. OK? Not Bonnie Bear. Not Bonnie Bang. Not Bon & Mare.
Bonnie Bear has invited Bon Iver to collaborate on a song.
“Bonnie Bear and all her friends at BabyFirstTV congratulate you, Bon Iver, on your Grammy win!” said Bonnie Bear’s representative from BabyFirstTV. “We would be delighted to invite the band to sing along with Bonnie Bear and her best friend, Mr. Gramophone, on BabyFirstTV where she paints beautiful pictures and teach [sic] young children about the world around them.” Bonnie Bear also sends along the message that she will forward any of Bon Iver’s email directly to the band as there’s been quite the mix-up as of late. Bonnie Bear’s mail can be forwarded to www.babyfirsttv.com. (via)
Do you see the difference now? Good. Now, not only you know Bon Iver, but you also got acquainted with his music and the cartoon character Bonnie Bear. You’re welcome.