To be successful in graduate school, you need to develop your academic skills.  Presentation skills, writing skills, responsible conduct of research—these and more are required of a competent and confident professional. 

Have a plan — Set goals and manage your time
Write papers and submit for publication — Improve your writing skills
Write a thesis or dissertation — Participate in a writing group

Find fellowship opportunities/Write a proposal — Prepare a successful fellowship application
Work with your mentor — Get the mentoring you need
Attend professional conferences — Deliver a conference presentation or create a research poster