You can use the bpy.ops.object.vertex_group_select
operator in edit mode:
import bpy
o = bpy.context.object
bpy.ops.object.mode_set( mode = 'EDIT' )
# Set the first vertex group as active:
o.vertex_groups.active = o.vertex_groups[0]
# Deselect all verts and select only current VG
bpy.ops.mesh.select_all( action = 'DESELECT' )
bpy.ops.object.vertex_group_select()
# Now the selected vertices are the ones that belong to this VG
vgVerts = [ v for v in o.data.vertices if v.select ]