I left out 2 sentences I'd like you to check. Thank you.

1)Sybil is the only thing Dorian cares about (is for possible?).
French artists devoted themselves to the search of beauty.
2) They persued any kind of sensations.
After lookig at the picture, Lord Henry tells Dorian that

1) yes

2) the 2nd half is unfinished?

Sra

Sure, I'd be happy to check your sentences for you. Here are the corrections and suggestions:

1) Sybil is the only thing Dorian cares about. (Using "is for" here doesn't make sense. You can simply remove it.)
French artists devoted themselves to the pursuit of beauty.

2) They pursued any kind of sensations. (The word "persued" should be corrected to "pursued".)
After looking at the picture, Lord Henry tells Dorian that...

To answer your original question, if you'd like me to check your sentences, the best way to get an accurate answer is to provide the sentences you want me to check, like you did in your question.