We ended up in cloud, I handed over control to my instructor and spent the next 10 minutes wondering what I would have done if he wasn't with me (hint: not good).
So I slept on it, text my instructor a couple of days later and told him I want to be able to do what he did. He told me I need an Instrument Rating (Restricted) rating, which allows me to fly in and above cloud.
So that's my learning for the next 10 weeks or so. I've got to take one written exam, one flying exam, and then I'm cleared for flying cloudy days.