I imported a lot of posts from the old blogger site into wordpress, but every publish presently has a ">" character towards the top of each publish. It is possible to script I possibly could use to mass remove this character?

Operate a query in your MySQL database. First have a backup.

update wp_posts set post_content = TRIM(LEADING '>' FROM post_content);

Note in case your database table prefix differs, you will have to alter the value for wordpress_posts above.

This assumes ">" is the initial character.