I think that this command gets you close that what you want:
CreateDocument[
SphericalPlot3D[
1 + 2 Cos[2 \[Theta]], {\[Theta], 0, Pi}, {\[Phi], 0, 2 Pi}],
Background -> RGBColor[1, .9, .7], WindowSize -> Scaled[1], WindowElements -> None]
For displaying on a second monitor, you will have to add a WindowMargins option, possibly with negative values.
