This is the 9660th most frequent Russian word.
частная
"Private."
Here, 'частная' modifies 'собственность' (property), meaning it is private as opposed to public.
У меня есть частная собственность.
I have private property.
In this sentence, 'частной' is used to describe 'школе' (school), indicating that the school is privately managed rather than owned by the municipality or state.
Она работает в частной школе.
She works at a private school.
Here, 'частную' describes 'консультацию' (consultation), meaning the session was personal and not public or group-based.