I was president of the graduate student organization -- and have worked with other students groups since. My recommendation is to focus on things that would help the students. Find out what is bothering them, what questions they have about nursing careers, getting a job, etc. ... Are there some issues/concerns within the school that you can address (without making enemies)? The more you help your fellow students, the more they may be willing to volunteer to help get things done. If it becomes all about fund-raising -- or doing things they don't really care about for other people they hardly know, they will quickly lose interest.
In short, be useful to the students. Serve them and they will be more likely to support you. That's one of the basic rules of political service.