They likely wouldn't get a total injunction even if Levandowski turns over the files. Google still has to show that the trade secrets are being used and where, if they want a judge to issue an injunction that stop Uber from operating.

Google is going to have to look at Uber tech and see how similar it is to the documents Levandowski allegedly stole. They will have to depose Uber engineers, read Levandowski's emails at Uber, etc.