The Net (1995)

SB at terminal (gif)

Sandra Bullock plays computer programmer Angela Bennett. She stumbles across a new computer program that can access, and change, all sorts of sensitive, confidential data (heck, it could happen to anyone).

That's the end of her quiet life. Her real and virtual existences are seriously threatened with terminal intent.

From the InterNet Movie database:

L. Allison, 1995