Indeed, though relics of the old masculine and feminine genders survive in Swedish.
You write (and if you're talking proper, you also say) den gamle mannen but gamla with everything else in the definite declension, whether common or neuter, singular or plural. This only applies to male humans (possibly male animals in general? not sure), not objects that once were of the masculine gender.
The Swedish word for 'person', 'human being' is människa (compare Mensch). One always uses the feminine pronouns, hon henne hennes, to refer to en människa because the word was previously feminine, as it is in German. Similarly, klockan is always feminine: Vad är klockan? -- Hon är fem i halv åtta (What's the time? -- It's 25 past seven.)