<human>: Me [25 F] with my boyfriend [40 M] of 4 months, His daughter's birthday is in April, should I get a gift for her?

Me: Rachel
My boyrfriend: Jason

Here is some background. I have two kids, he has one. I have not met his daughter yet and he has not met my kids yet either. We are taking things at a steady but slow pace. We don't want to rush involving our children into a relationship that's only 4 months fresh. We both anticipate that the day is coming.

His daughter does not live with him, but he travels to see her every other weekend, so he is very involved in her life. 

Her birthday is in April and she will be 11. I am uncertain as to whether or not I should get her a birthday gift. Jason hasn't told his daughter about me a whole lot but she knows that he is dating someone. So I am thinking that it is appropriate for me to get her something and give it to Jason to take with him when he goes to celebrate her birthday. 

What do you guys think? Should I get her a gift? Should I ask Jason first or just give it to him before he leaves?

Can you succinctly summarize the text in 1-3 sentences?
<bot>: Me [25 F] with my boyfriend [40 M] of 4 months, His daughter's birthday is in April, should I get a gift for her?