Yes Mindfulness Meditation is a specific form of practice that comes with a few key steps that separate it from other forms. Step one is drawing awareness to your breath (imagine a kid yelling 'your breathing right now!!!!' in order to become self-conscious of your breath) then step two would be 'observing what arises' which will be thoughts, feelings and sensations.

You will lose awareness of your breath as you get pulled into thoughts, feelings and sensations which then you are tasked with kindly labelling them all 'thinking' and returning awareness back to your breath. In time and with practice you will begin to experience a strengthened ability to maintain awareness but you will also strengthen your ability to come back and lightly disengage from thoughts. And then if you practice often enough, you'll be come familiar with your common thoughts that go through your head and maybe I'm doing so, Invite the opportunity for a novel response as opposed to your habitual response.

Source: Tibet house which is the dalai lama's organization, and Dharma Moon I just finished a 100hr course