Computers that are still on "The Old System" (Active Directory), like most classroom desktops, won't automatically use OneDrive to sync the files with other computers. They can still do it, but it must be turned on manually. Files stored in Google Drive are totally separate and not impacted by this.
1. Look for the grey cloud in the lower right corner of Windows (mine is blue because it's on).
2. Right click it and follow the prompts to sign in.
3. When it asks what folders to sync, make sure all three are set to sync: Desktop, Documents, and Pictures. These are the only three that OneDrive will sync.