They say you never forget your first. And for Courtney Barnett — the Grammy-nominated indie rocker from Down Under — that means New York City will always hold a special place in her heart.

“That’s actually the first place I ever played outside of Australia, which is kind of cool,” says Barnett, 30, of her debut US showcases at the CMJ Music Marathon in 2013. “I played lots of little venues in quick succession over a couple of days. We’ve gone back [to New York] a lot and played for some really great crowds. They’ve been pretty good to us.”

After performing at the Music Hall of Williamsburg in May, Barnett will take her grungy sounds out of the beer-scented club and into the open air when she headlines a concert at Prospect Park Bandshell on Wednesday. It’s a benefit show as part of this season’s BRIC Celebrate Brooklyn! Festival.

Barnett will be rocking tunes from her latest album, “Tell Me How You Really Feel,” the follow-up to her acclaimed 2015 debut, “Sometimes I Sit and Think, and Sometimes I Just Sit.” Her first LP scored Barnett the coveted musical guest gig on “SNL” and a Grammy nomination for Best New Artist, but the singer-guitarist lost out to Meghan Trainor at the awards in 2016.

“That was kind of good,” says Barnett, who attended the “pretty crazy” ceremony in Los Angeles. “It was a relief that I didn’t have to get up and say anything. I’m really scared of public speaking.”

After releasing a collaborative album, “Lotta Sea Lice,” with singer-songwriter Kurt Vile last fall, Barnett appeared on The Breeders’ comeback album, “All Nerve,” in March. Breeders twin sisters Kim and Kelley Deal returned the favor on “Tell Me How You Really Feel.”

“I was a big fan of theirs, and we’ve become friends over the years,” says Barnett, who has learned well from the alt-rock icons: “They don’t seem to take much bulls–t or waver from their own kind of path. They just do things the way they do them, and that’s inspiring.”

Barnett admits that it’s not always easy being a woman in rock. “There’s challenges just putting up with the s—ty behavior and s—ty assumptions and condescending people. It’s something you kind of fight,” she says. “But there’s just as much encouragement and positivity.”

On “Hopefulessness” — the moody opener of the new album — Barnett offers encouragement in the (slightly altered) words of the late Carrie Fisher: “Take your broken heart, turn it into art.”

“I read [those words] somewhere, and I thought they were very powerful,” says Barnett. “I thought it was a really beautiful and simple line. You can take a lot from it.”

And so Barnett did on “Hopefulessness”: “That song deals with trying to turn something negative into a positive, finding hope amongst hopelessness. Most people can probably relate to that feeling.”