Hi!
Unfortunately, there isn’t a way yet to highlight based on the current user. There are a couple workarounds mentioned in this thread: Can I get current user on formula? - #2 by natalie-grist
One trick (one of those mentioned) is to use Access Rules to create a column which is only visible for rows created by the current user (so it will have the special CENSORED value for the other rows). This doesn’t help with conditional formatting, but it allows filtering (and sorting). So you can use this trick to set up a page that filters only for such rows.