Answer by taking a quote from the following article:

Tyler was born Liv Rundgren at Mount Sinai Hospital in East Harlem, New York. She is the only daughter of Bebe Buell, a model, singer, and former Playboy Playmate (Miss November 1974), and Steven Tyler, the lead singer of Aerosmith. Her mother named her after Norwegian actress Liv Ullmann, after seeing Ullmann on the cover of the March 5, 1977 issue of TV Guide. She is of Italian, German, Polish, English and African American ancestry on her father's side and German ancestry on her mother's side.

Tyler made her feature film debut in Silent Fall in 1994, where she played the elder sister of a boy with autism. In 1995, she starred in the comedy drama Empire Records. Tyler has described Empire Records as "one of the best experiences" she has ever had. Soon after, she landed a supporting role in James Mangold's 1996 drama Heavy as Callie, a naive young waitress. The film received favorable reviews; critic Janet Maslin noted: "Ms. Tyler ... gives a charmingly ingenuous performance, betraying no self-consciousness about her lush good looks."  Tyler had her breakthrough role in the art house film Stealing Beauty (1996), in which she played Lucy Harmon, an innocent, romantic teenager who travels to Tuscany, Italy, intent on losing her virginity. The film received generally mixed reviews, but Tyler's performance was regarded favorably by the critics. Variety wrote: "Tyler is the perfect accomplice. At times sweetly awkward, at others composed and serene, the actress appears to respond effortlessly and intuitively to the camera, creating a rich sense of what Lucy is about that often is not explicit in the dialogue." Empire noted, "Liv Tyler (here radiantly resembling a ganglier young Ava Gardner) with a rare opportunity to enamour, a break she capitalizes on with composure." The film was directed by Bernardo Bertolucci, who chose Tyler for the role after meeting with a number of young girls in Los Angeles, including Tyler's music video co-star Alicia Silverstone. Bertolucci said "there was something missing in all of them". He later said that what he saw in Tyler was a gravitas he described as "a New York aura". During promotion of the film, Tyler said she wanted to separate herself from the character during production: "I tried my damnedest not to think of my own situation. But at one point, after a take, I just started to cry and cry. I remembered when I found out about my dad and how we just stared at each other from head to toe taking in every nook and cranny."  She later appeared in That Thing You Do! (1996), a movie about a fictional one-hit wonder rock band called The Wonders, following their whirlwind rise to the top of the pop charts, and just as quickly, their plunge back to obscurity. The film was written and directed by Tom Hanks. It grossed over $25 million worldwide, and was met with favorable reviews. The following year, she appeared in Inventing the Abbotts in 1997, in which she played the daughter of Will Patton and Barbara Williams' characters. The movie is based on a short story by Sue Miller. Entertainment Weekly declared Tyler's performance as "lovely and pliant". That same year, Tyler was chosen by People magazine as one of the 50 Most Beautiful People.

who did she play in that movie?
a naive young waitress.