What does see you means? Is it bidding goodbye or saying that I am coming soon to meet u...means I am on my way to meet u? Does it has two meanings?
As a stock phrase "See ya!" does in fact mean "Goodbye!"
Variations include "Be seeing you" and "See you again soon. " It is a warmly connoted bidding of farewell.
It is related to Auf Weidersehen- literally "until (I/we) see (you/each other) again"
I suppose one could also see it as short for "I see you," a game one plays with a baby (peek-a-boo) but the farewell is by far the more common case.
There are numerous statements made when departing that include phrases that suggest the parties will meet again. This is a form of expressing a bond with someone who is more than a stranger. The speaker is indicating that she wants to see the other person another time.
The example you offer, See you, means
Many other similar departure statements (which can be made by the person leaving, the person being left or both) include
Many of the words in such statements may be replaced by colloquial or slang variants, such as ya for you, bye for goodbye, and 'til for until.