In my opinion, Rock Lee would be an interesting character to include. His admiration for Sakura could create some jealousy in Gaara. Also, Hinata could be added. She could be a confidante for Sakura, and they could talk about their relationships. Shikamaru might be a good character too. His intelligence could be used to help Gaara and Sakura solve problems in their relationship or in the plot. For example, if there are some political issues between Konoha and the Sand Village that affect their relationship, Shikamaru could come up with solutions.
Temari could be a great addition. As Gaara's sister, she could play a role in either supporting or being skeptical of their relationship. Naruto could also be included. His friendship with both Gaara and Sakura could add some interesting dynamics. He might be the one to encourage them or accidentally create some comical misunderstandings. Kankuro could be another character. He could provide some insights into Gaara's past and how his relationship with Sakura might change things in the Sand Village.
Well, one character that would be great to include is Ino. She could be the one who gives Sakura relationship advice or tries to interfere in a funny way. Sai could also be included. His lack of understanding of emotions could lead to some humorous situations when he tries to figure out what's going on between Gaara and Sakura. Another character could be Tsunade. As Sakura's mentor, she could have an opinion on Sakura's relationship with Gaara and might even set some conditions or give warnings, which would add more drama to the fanfiction.