I have driven past Case Western a few times (maybe 3 times before) when I was in the University Village neighbourhood. It is a beautiful campus and I wouldn't expect anything less from a private school. I came to the Case Western Law School library 3 weeks ago (on February 10, 2018) to do some work.
The library has 3 floors and there is ample room to study, read, or use your laptop. I noticed computer labs inside but since I am not a student there, I don't know if guests can access the computers. I didn't need to use the computers when I came so I did not ask about them.
A cool feature here is that on the 3rd floor, there are sofa type chairs that has a kind-of mini desk attached to it that lets you place you laptop on top. The chair almost looks like a loveseat so I assume that it will be comfortable. I will have to take a photo of it next time I'm there so you can see what I mean. Another neat feature is not only are there vending machines in the lobby for snacks and drinks, but there is a very small Starbucks station inside the library where you can make your own coffee and self pay. I don't drink coffee thought but I got excited when I saw it because I thought that there might have been a tea option too...haha. Oh well.
I had no problem with parking because I noticed a parking lot next to the library. It costs $2 an hour I think and I was here on a Saturday afternoon so there were many spots open. Parking here in general may be a problem because it is street parking and if you come into the library during the week, students will probably have all the parking spots taken (this is just a guess).
Overall, I love the Case Western Reserve law school library and law building. I will definitely be back.