While most grants are aimed at researchers past the doctoral stage, there are some "pre-doctoral" grants to fund research towards a doctorate and even fellowships to support doctoral research.
While many of the grants listed on the sites below might not be applicable to you, it does pay to be aware of the major funding agencies along with the basic requirements of a grant application. There are also fellowships and other scholarships that you might help fund your graduate education and research.
Some grants have requirements for preservation of data collected during the grant, along with open access for elements.