Grøn sculpted in clay, stone and wood, and molded in concrete and various metals. Her initial works were realistic and she strove for perfection, but she was influenced by the Romanian modernist Constantin Brâncuși, which led her to shift to more stylized forms. In 1960, she completed a statue of General José Dolores Estrada for the Nicaraguan Association of Writers and Artists. She was known for her sculptures of Rubén Darío, and also depicted personalities such as Josefa Toledo de Aguerri, Pablo Antonio Cuadra, among others. A 1958 sculpture of Darío was installed in a Miami, Florida park in 1961. That same year, Grøn carved a stone head of Darío clothed in a Carthusian habit, titling it "La Cartuja", in reference to the poet's 1913 work on the same theme. In 1962 to commemorate the 350th anniversary of the indigenous revolt against the Spanish conquistador Gil González Dávila, Grøn sculpted an image of Cacique Diriangén to depict his courage and resistance. In 1964, she sculpted a bust of Darío from white Guatemalan marble, which has become an iconic image of the poet. In the 1970s, Grøn developed mouth cancer and went to the MD Anderson Cancer Center in Houston for chemotherapy. She began losing her sight in 1981 and was forced to change to painting and inlay works with wood. Some of her most known paintings include: "Muchacha en la hamaca" ("Girl in a hammock"), "Cándida", "Desnudo" ("The nude"), and "Llanto después del desastre" ("Tears after the disaster"), which was a reference to the 1972 Nicaraguan earthquake.