Can I See What My Students Are Working On?
Yes. As the classroom's professor, you can always see every survey created inside your classroom, regardless of who created it. This is the one visibility rule that's the reverse of what students get — see Can Students See Each Other's Surveys in a Classroom?.
You'll also get a notification whenever a student uses the Submit to professor action on a survey, so you don't have to check the roster manually to know when work is ready for review. See How Do Students Submit Work to Their Professor?.
Seeing a student's survey doesn't mean you can edit it. Unless a student adds you as a collaborator on a specific survey, your access to their work is read-only.