[3] Greene started her career as a naval architect before transitioning to the tech industry, where she was a founder and CEO of VMware from 1998 until 2008.

In 1987, she attended and graduated with a master's degree in computer science from the University of California, Berkeley,[10] where she met her future husband and co-founder of VMware, Mendel Rosenblum.

[8] Early in her career, Greene worked as a naval architect, where she designed ocean-going vessels and offshore structures.

[7] In 1998, Greene, Mendel Rosenblum, Scott Devine, Edward Wang and Edouard Bugnion founded VMware.

VMware functioned as a subsidiary, keeping its name, brand, and products and achieving a $2 billion run rate.

[23] Greene was succeeded as CEO of Google Cloud by former Oracle executive Thomas Kurian.

[25][26][27] Greene has served as a board member of Alphabet, Intuit, Khan Academy, SAP, Stripe, A.P.