When Lady Capulet asks Juliet how she feels about getting married, Juliet replies:
"It is an honour that I dream not of."
There is a clear hint of sarcasm in Juliet's response. It was seen as an honour for Veronese women to be married, especially to someone of rank and title. Juliet, however, is not interested at all.
Lady Capulet then informs Juliet about Count Paris' interest in her and asks that Juliet at least observe Paris at their feast that evening. She urges her to consider marriage to him as a definite possibility. She asks Juliet:
"Speak briefly, can you like of Paris' love?"
It is clear that Lady Capulet has already made up her mind that Paris is a most suitable husband for her daughter and wants to know if Juliet would at least appreciate and consider Paris' affection.
"I'll look to like, if looking liking move:
But no more deep will I endart mine eye
Than your consent gives strength to make it fly."
Juliet response can be seen as quite ambiguous - she may mean that she will look to find whether she likes what she sees or that she may act as if she likes what she sees. In both instances she states that she will look if such looking inspires her to like what she sees (that she is moved) or that by acting in the manner her mother wishes her to (by looking) that it may inspire some other result, either from herself or even Count Paris.
Juliet states, however, that she will not look more deeply than her mother allows her to, to make her interest seem genuine. It is clear that Juliet would acquiesce to her mother's request, showing her obedience.