to wake up (from sleep); to regain consciousness — physically becoming awake.
毎朝6時に自然に目覚める。
I naturally wake up at 6 every morning.
病院で意識が戻り、ゆっくりと目覚めた。
I regained consciousness in the hospital and slowly woke up.
目覚めると外はもう明るかった。
When I woke up, it was already light outside.
to awaken to (an ability, interest, perception, etc.); to become consciously aware of or develop an interest in something.
大学で文学に目覚め、将来は作家になりたいと思うようになった。
I developed an interest in literature at university and began to want to become a writer.
彼は料理に目覚めて、休日はいつも新しいレシピを試している。
He discovered a passion for cooking and tries new recipes every weekend.
社会問題に目覚めた若者たちが集まって討論会を開いた。
Young people who became aware of social issues gathered and held a debate.
to come to one's senses; to regain sobriety of mind or composure.
酔いが覚めて、ようやく彼は目覚めた。
When the intoxication wore off, he finally came to his senses.
感情的になっていたが、すぐに目覚めて冷静になった。
He had become emotional but soon came to his senses and calmed down.