Hello,

What does, "Senin de gönlün var" mean?

Literally it means: You also have a heart

But it may be an expression 

gönül means heart

gönlü var => (lit.) to have heart in sth/sb => to be eager/willing to do sth or to be with sb.

the sentence "senin de gönlün var" needs an object.

for example,

senin de bende gönlün var

you´re willing to be with me too

in your sentence, the object is embedded.. (most probably, as in my sentence, it´s "bende")

opp., gönlü yok

bu akşam dışarıya çıkmaya gönlüm yok

I don´t feel like going out this evening

In the show that I was watching, a woman is arguing with her sister about a guy she likes. She says:

-Uzaklaşmıyorsun değil mi ondan? Senin de gönlün var.

Does this context change the meaning?

No, it doesn´t..

The only thing that changes is the embedded object of the sentence.

Senin de (onda) gönlün var.

You want to be with him too

Thank you!