As AmeliaBR’s comment indicates, you should add this style inside the SVG <object>.
And unless your SVG is very simple, you may have the same issue I had: only seeing a pointer when you are hovering over one of the shapes in the SVG, but not when you’re between shapes.
(In some cases you might want that behavior, but for a wordmark, for example, you typically want the whole rectangle to be clickable, not just the individual letters.)
To make the whole rectangle clickable, add svg { cursor: pointer; }. If you just want specific elements clickable, name them by class:
<svg ...>
<style>
svg { cursor: pointer; } /* whole rectangle */
/* OR */
.element-name { cursor: pointer; } /* specific elements */
</style>
...
</svg>