In case of 実感する
It means " feel( or really feel ) "
・I felt my happines when I had new family.
→ 新しい家族が出来た時、幸せを実感した。
On the others hand, 気づく
It means " nitice "
・I noticed he arrived at our place when I heard the car stopped.
→ 車が停まった音を聞いた時、彼が(私たちの場所に)到着した事に気づいた。
If you have any further question, please ask me again.