Hi mat, you can assign objects to a style in the Scene Browser by selecting the objects and then clicking on the color swatch of the style. If you want to also use the Scene Browser to select named objects you can do that by clicking on the right-hand side of the name where the selection indicator dot shows:



If you left click there it will toggle that item's selection on or off and you can also right-click click on it to make that item the exclusive selection and deselect any other things.

- Michael