Can employers access desktop browser history when logged into OWA?

[geved]

Hi - I've heard that an employer can technically see all your web browsing and emails when using the Outlook exchange mobile app, but I was wondering if this applies to OWA. If I use my desktop computer to log into a company outlook account through OWA that uses exchange, does my employer has access my computer browsing history, my browser bookmarks, or my browsing in other tab or windows during that session, or worse?