There are hundreds of ways that computers record everything you do on the computer and on the internet.
If you are in danger, please try to use a safer computer that someone abusive does not have direct access, or even remote (hacking) access to.
It might be safer to use a computer in a public library, at a community technology center (CTC) (national directory), at a trusted friend's house, or an Internet Cafe.
If you think your activities are being monitored, they probably are.
Abusive people are often controlling and want to know your every move. You don't need to be a computer programmer or have special skills to monitor someone's computers activities - anyone can do it and there are many ways to monitor.
Computers can provide a lot of information about what you look on the Internet, the emails you send, and other activities. It is not possible to delete or clear all computer "footprints"
If you think you may be monitored on you home computer, you might consider no home Internet use or "safer" internet surfing. Example: if you are planning to flee to California, don't look at classified ads for jobs and apartments, bus tickets, etc for California on a home computer or any computer and abuser has physical or remote access to. Use a safer computer to research an escape plan.
Everything you do on a computer can be monitored.