blicken
to look
To consciously turn one's eyes in a particular direction in order to look at something; to gaze.
Sie blickte neugierig über die Schulter ihres Nachbarn.
She looked curiously over her neighbor's shoulder.

to look
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to look
To consciously turn one's eyes in a particular direction in order to look at something; to gaze.
Sie blickte neugierig über die Schulter ihres Nachbarn.
She looked curiously over her neighbor's shoulder.

The verb 'blicken' is often used in written language and can sound somewhat more formal or poetic. It describes a conscious and directed way of seeing.
Er blickte nachdenklich aus dem Fenster in den Regen.
He looked thoughtfully out the window into the rain.
'Blicken' is the verb belonging to the noun 'der Blick' (look/view). Both words describe the act of seeing or the view. If you know 'der Blick', you can easily figure out 'blicken'.
Ihr Blick war auf die offene Tür gerichtet.
Her gaze was directed at the open door.
'Blicken' is often combined with prepositions that indicate a direction. Typical phrases are 'auf etwas (Akk) blicken' (to look at something), 'in die Zukunft blicken' (to look into the future), or 'zurück blicken' (to look back).
Von diesem Berg blickt man weit über das Land.
From this mountain, you can look far out over the land.
In this meaning, the subject of the sentence is not a person, but a place such as a window, a balcony, or a room. It describes where the view from there goes.
Die Fenster unserer Wohnung blicken auf einen ruhigen Innenhof.
The windows of our apartment face a quiet courtyard.
The reflexive expression 'sich blicken lassen' means to show up at a place, often after a longer absence. The expression is used as a whole.
Er hat versprochen, sich auf meiner Geburtstagsparty blicken zu lassen.
He promised to show up at my birthday party.
to see
'sehen' and 'blicken' both have to do with the eyes. 'sehen' generally means that you perceive something with your eyes. 'blicken' puts more emphasis on the direction or the deliberate movement of the eyes. For example, you can 'aus dem Fenster blicken' (look out the window), 'auf die Uhr blicken' (look at the clock/watch), or 'zu einer Person blicken' (look toward a person). Learners may confuse the words because both are often related to 'schauen' (to look). As a simple guideline: 'sehen' describes more what you perceive; 'blicken' describes more where you are looking.

Vor dem Gespräch blickt Tom kurz auf seine Notizen.
Before the conversation, Tom briefly looks at his notes.
Ich sehe den Bus schon an der Ecke.
I can already see the bus at the corner.