It's looking okay so far, assuming you're driving during the day. But Utah definitely gets snow in March, it's not unusual to get 6 inches in Salt Lake City
and 50 inches up in Brighton
During the day, you're probably going to be okay since they do a good job of clearing the roads, but there might be snow accumulation at night so plan for extra time to drive.
You can check http://udottraffic.utah.gov/
for local traffic.