I found this in a Computer Science pseudocode context (see page 4 of this paper).

I found this in a Computer Science pseudocode context (see page 4 of this paper).

It means exactly the same as $\le$.
It is the same old $\le$ symbol.
Mathematical notation is far from set in stone or standardised, as might appear to a beginner. Here's a sample of the variations in the inequality signs (taken from symbols-a4.pdf):

Of course, most of this is not commonly used; my guess is that they have been included only for historical purposes and for completeness.
I add a comment for the sake of completeness. As said, in general $\geqq$ means $\geq$, but in some old math texts it is possible to find the following distinction for a real vector $x$:
In other terms, with this notation, $x \geq 0$ implies $x \neq 0$.
In the given context, it means “less than or equal to,” just as “≤” means. However, it is coded as a separate character (not just a glyph variant), so it could be used for some other meaning. A symbol means whatever people make it mean.
Historically, it is a glyph variant, and it has been encoded as a character primarily for compatibility reasons, see Unicode Standard, pages 491–492.
According to the ISO 80000-2 standard, the character to be used is “≤” (U+2264).