Yes, don't legalese.
Get a copy of The Elements of Style by Strunk and White. It can be found on Amazon from $3 to $10. It's not long and it's easy to read. Study it. Make certain you understand it. It will help you all through law school.
There are some great posts in this forum about how to prepare for law school during 0L, but it seems they mostly discuss prep for the substantive courses. Any advice on how to prepare for Legal Writing class during 0L?Thank you!