Q. Can women also take part on the blessing on the new fruit of the blooming trees?

A. Teshuvos Vehanhogos (1: 190) and others maintain that there is no obligation for women to leave their homes and seek the blooming trees to recite this blessing. (See Piskei Teshuvos 226: 1).
However, Poskim maintain that they can recite the brocho, especially during Shabbos.
Horav Shlomo Miller’s Shlit’a opinion is similar

Rabbi A. Bartfeld as revised by Horav Shlomo Miller, Horav Dovid Pam, Horav Aharon Miller and Horav Chanoch Ehrentreu Shlit’a