In particular, this VARDAGEN Glass Bowl.
It's almost a quarter inch thick, feels heavy and solid, wonder if anyone has tried. Nothing fancy, just boil and soup kind of thing. I figure it's healthier than stainless steel. Thought?
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No, you can't.
You should always assume glass is not safe to use on the stovetop. Essentially none of it is, and while there are a very few exceptions, they'll say so explicitly. (For example this set says stovetop-safe in the description.)
That bowl is nothing special, definitely not stovetop-safe - it'd shatter under the thermal stress. If you look carefully on the packaging, you might even find a warning that's not for use on the stovetop.