To Stare At
To Gaze
transitive verb, ichidan verb
You learned 詰める means "to stuff in." When you want to see something so much that you "stuff" your gaze into it, you're probably going to stare at it.
見詰める means to gaze at something intently, often with deep thought, admiration, curiosity, or strong emotions. Keep in mind that you'll usually see this word with the 詰 in kana, as 見つめる.
The reading is 見 and 詰める.
好きな人をこっそり見詰めるのって、青春っぽいよね。
Secretly staring at your crush—so youthful, isn't it?
見詰めるだけで通じることもある（と信じたい）。
Sometimes you can communicate just by staring… I hope.
ネコにジッと見詰められたから、おやつを差し出してしまった。
The cat stared at me so intensely, I had to give it a treat.
その犬は、真っすぐ上へ上へと飛んで行く風船をじっと見詰めていた。
The dog was staring intently at the balloon flying straight up, higher and higher.