I've looked for an answer, and have seen that there should be an option on the import dialog. This is not the case for me. Blender 2.77, SVG 1.1 from Illustrator. Thank you.
If you just want an object outline, you can go in with edit mode and remove interior edges and faces. Of course, this is less useful if the object is very complex.
Another option might be to select an outside edge in edit mode, then use Select > Edge Loops or Select > Edge Rings to get the outline(s) you want. Once you have those, you can separate the selection into a new object with Mesh > Vertices > Separate.
Edit: This is all assuming you convert the object to mesh first. :)
You can run the following python script in Blender's Scripting workspace. Just select the curves you want no fill on and execute the code.
import bpy #store the selection of objects in a variable selected_objects = bpy.context.selected_objects #loop through the selected objects for obj in selected_objects: #check if the object is a curve if obj.type == 'CURVE': #execute the instruction to set the fill mode to none obj.data.fill_mode = 'NONE'