The one month break seems like a good idea and if its a good therapist he should not drop you.
additionally if hes a good therapist, you can decide on how therapy should look like, meaning you do not have to open up right away. You could for example talk about a hobby, what you did this month or discuss any kind of topic you may want to.
My therapist also cooks with his patients. I on the other hand also like discussing if karma exists or religion.
Though I have a very young and "modern" therapist, I've met some pretty shitty ones too.
In the end you have to decide if you want to talk with someone regurarely. I like talking with someone every week, makes me feel kind of lighter and the person is not someone close too you, making it easier for them not to judge you or get way too emotional.