Does it work this way? Or I can use only simple gaunltet with this talent?
Spiked Gauntlet is a weapon
Gauntlet is an unarmed attack and not to be confused with an unarmed strike attaxk which is a different weapon.
Technically gauntlets both count as an unarmed attack but also modify the unarmed strike action.
Strike, Unarmed: A Medium character deals 1d3 points of nonlethal damage with an unarmed strike. A Small character deals 1d2 points of nonlethal damage. A monk or any character with the Improved Unarmed Strike feat can deal lethal or nonlethal damage with unarmed strikes, at his discretion. The damage from an unarmed strike is considered weapon damage for the purposes of effects that give you a bonus on weapon damage rolls.
An unarmed strike is always considered a light weapon. Therefore, you can use the Weapon Finesse feat to apply your Dexterity modifier instead of your Strength modifier to attack rolls with an unarmed strike. Unarmed strikes do not count as natural weapons (see Combat).
Gauntlet: This metal glove lets you deal lethal damage rather than nonlethal damage with unarmed strikes. A strike with a gauntlet is otherwise considered an unarmed attack.
So you can either declare you're attacking with a gauntlet as an unarmed attack, or make a lethal unarmed strike whilst wearing a gauntlet.