I am new to LINUX and new to LibreOffice Writer. I am working remotely with others and need my word processor to relate to MS Office. I need compatible fonts.
Fonts are not part of LO or other programs.
Your operating system (Linux) manages the fonts. I suggest you ask your question about how to install fonts on a Linux forum.
Most popular Linux distros have Microsoft core fonts in their repos, just search and install using your package manager. Note that installing the fonts won’t necessarily solve your problems (if you have any, which is not clear from your question), because font rendering is different in Windows and Linux.
And learn to ask good questions.