Since father has left, we can talk freely.

Literal

Father [subject-が] gone-away [because-から], we [topic-は] freely talk [subject-が] can-do.

行ってしまったから — てしまう here marks completion (father's departure is done), and から gives the reason. 自由に話ができる = 'can talk freely.' われわれ is a formal/literary 'we.'