There are different opinions to this question. However, in my opinion I think the answer is no. Don't get me wrong, Katniss does love Gale, but more as a brother. While she loves Gale, she is not in love with him. At different parts in the story Katniss herself is unsure of this as well. Gale wants them to be together, to leave and live in the woods together, but Katniss is destined for more.
Gale and Katniss share many common interests. They are from the same district, have grown up together and seen each other through many hardships. However, in the end when Gale decides to go through with the bombing, Katniss realizes that even with all their similarities, at their cores, they are essentially different souls.
After going through the Hunger Games, Katniss has a great respect for human life. Additionally, she has relied on Peeta many times to save her life and she has done the same for him. That has created a deep love for each other that all the history and similarities Katniss has with Gale, cannot compare for the love she has for Peeta.
Therefore it it is in my opinion that no, Katniss does not love Gale the way he wants her to.