You can't dual-wield lances without a mount.
Lances are only one-handed weapons when mounted, even if you're a goliath or a centaur, so you can't dual-wield lances without some kind of mount. You could dual wield spears, but not lances in specific.
You need a feat to dual-wield larger weapons.
The two-weapon fighting rules (PHB p.195) say:
When you take the Attack action and attack with a light melee weapon that you're holding in one hand, you can use a bonus action to attack with a different light melee weapon that you're holding in the other hand.
Since spears and lances aren't light weapons, you can't two-weapon fight with them. But you can take a feat (PHB p.165) to unlock that ability:
Dual Wielder
You master fighting with two weapons, gaining the following benefits:
[...] You can use two-weapon fighting even when the one handed melee weapons you are wielding aren't light.
Charging doesn't really exist in 5th Edition.
In previous editions of D&D, charging was a kind of important strategy, but it doesn't really exist anymore; instead, we have the "Charger" feat for players who want that to be a major part of their style. Similarly, unlike prior editions, lances gain no special effect from charging or any other specific kind of attack; they change handedness based on whether you're mounted or not, but that's the only special rule. You can do something like what you're describing, but based on your extended questions, I don't think it's going to work the way you want it to.
The Charger feat says, in part, that when you use your action to Dash (that is, increase your move speed, what we used to call a "double move"), you can make a single melee attack as a bonus action and possibly get a bonus on that attack roll.
This is fundamentally incompatible with two-weapon fighting. As I quoted above, when you're two-weapon fighting, you use an action to attack with one weapon, and then you can then use your bonus action to make a single attack with your second weapon. You only get one bonus action per turn, so if you're spending your action to Dash and a bonus action to attack with Charger, then you haven't used your action to attack, and you don't have a bonus action left to make a second attack in any case.
In Summary
So you could take the "Dual Wielder" feat and have your goliath go running into battle on foot with a spear in each hand and attack with both of them (but not with lances). You could take the "Charger" feat and be able to move at high speed and get an attack bonus on the single attack you get to make. But you can't really do both at once, charging in and stabbing with two spears at once.
If you just like the image, then that's fine -- take Dual Wielder and have fun with a cool character! That's the point of the game! But if you're trying to pull off a specific combo in hopes of dealing super-damage, I'm afraid it isn't going to work.