The LSU Lake is a small lake built on the LSU campus serving as a scenic/recreational amenity for the campus. It is bound by a road at each end, by homes on one side, and by fraternity row on the other side. There is a small beach at one end with some picnic tables and a reasonably clean restroom. When I visited, I parked at this end and launched my kayak onto the lake. Many people walk, job, or bike around the lake, and there are paths for these activities. A penninsula that juts into the lake at one end is designated as a wildlife refuge.
As a place to kayak, the lake wasn't all that exciting. It would be a good place to go for exercise, but the scenery doesn't change enough to make it a great kayaking destination. The little wildlife refuge has some birds, but I didn't see much of interest. The lake is full of turtles, and they are fun to see occasionally.
No swimming is allowed, so the beach is good only as a place to sit in the sand and catch some sun. Anyone interested in this activity might enjoy the beach, and I saw several people doing just that. However, I wouldn't make it a major focus of travel activity.
I've heard mixed reviews on jogging around the lake. A local lawyer and politician spoke where I work about a year ago and said that the place is dangerous to women. She had jogged around the lake in the past but refused to do so anymore. On the other hand, the community is sensitive to attacks on women right now, and I rarely hear of anything happening there. If it were really prevalent, I think I would hear more.
Locals can find the lake many ways, but I found it easiest by taking the Acadian exit from I-10 and heading west (under the interstate). That road might change names, but it took me directly to the lake.