No that is not love at first sight. Love at first sight mean fall in love with someone at first sight/glimpse( not after second, third or four sights ) or after few dates .I think we have seen love at first sights in films where love happens instantly and sometimes hero find later that girl is either blind or dumb
Love at first sight is a noble idea but it don't exist in real life and its my personal opinion and others may differ. How can you love someone who you don't even know? I would say its impossible. Love is to know someone and to accept them for exactly who and what they are. How can you know the innermost details of a stranger at first sight? You canot. Love is loyalty, trust, friendship. Love is built on mutual understanding and respect.
At first sight you can have an overwhelming desire to get to know the other person and to find out everything about them. Often that initial attraction can fade quickly when we get to know the other person.
If a girl tell me that she love me after first sight then my first question will be what she love about me then and what she know about me at first sight?