Le jeu de société utilise le pion et le dé.

This is just the standard French expression for board game.
Literally, jeu de société does look like game of society or social game, but idiomatically it means a game people play together, especially a tabletop/board game.

So:

• un jeu = a game
• de société = social / for social gatherings

As a whole, un jeu de société = a board game.

In French, when one noun modifies another, de is often used without an article.

So:

• un jeu de cartes = a card game
• une salle de classe = a classroom
• un jeu de société = a board game

Here, de société is not really saying of the society. It is more like a type label: a society/social game. That is why there is no le/la after de.

Le jeu de société uses the definite article le. In French, definite articles are often used in a general or generic sense more than in English.

So Le jeu de société utilise le pion et le dé can be understood as:

• The board game uses the pawn and the die
• or more naturally in English, A board game uses a pawn and a die
• or Board games use a pawn and a die, depending on context

French often uses le/la/les where English might prefer a/an or no article at all.

Because the subject is singular:

• Le jeu de société = the board game

So the verb must also be singular:

• il utilise = it uses

If the subject were plural, you would say:

• Les jeux de société utilisent... = Board games use...

Utilise is the third-person singular present tense of utiliser.

Conjugation in the present:

• j’utilise = I use
• tu utilises = you use
• il/elle/on utilise = he/she/it/one uses
• nous utilisons = we use
• vous utilisez = you use
• ils/elles utilisent = they use

In this sentence, le jeu de société is singular, so French uses utilise.

French often uses the singular to refer to something in a general, representative way.

So le pion et le dé means something like:

• the pawn and the die
• or more naturally, a pawn and a die, as game elements

It does not necessarily mean there is only one of each in a real game. It can just describe the typical items used by that kind of game.

If you specifically wanted plurals, you could say:

• les pions et les dés = the pawns and the dice

This is another example of French using the definite article for general statements.

French often says:

• Le chat aime le lait
  literally The cat likes the milk
  meaning Cats like milk

Similarly:

• Le jeu de société utilise le pion et le dé

Here, le pion and le dé refer to those items as categories or standard elements, not necessarily one specific pawn and one specific die already known to the listener.

Using un pion and un dé would also be possible in some contexts, but it would feel a bit more like introducing individual objects rather than talking generally.

In the context of games, un pion usually means a playing piece, token, or sometimes pawn, depending on the game.

That is important because English pawn is very specific in chess, but French pion can be broader. In many board games, pion is simply the piece each player moves around the board.

So depending on context, le pion could be translated as:

• the pawn
• the playing piece
• the token

If the meaning has already been shown to the learner, this is mainly a vocabulary nuance to be aware of.

Un dé means a die, the singular of dice.

The accent in dé is a written accent mark that helps distinguish it from other forms such as:

• de = of / from / some
• dé = die

So the accent is important for spelling and meaning.

Also note the plural:

• un dé = a die
• des dés = dice

A rough pronunciation guide is:

luh zhuh duh soh-syay-tay yoo-teel-eez luh pyon ay luh day

A few useful notes:

• jeu sounds like the zhuh sound, not like English joo
• société ends with -té, pronounced like tay
• utilise has a z sound in the middle: yoo-teel-eez
• pion is roughly pyon
• dé sounds like day
• et is pronounced ay, not et

This is only approximate, but it helps with the main sounds.

There is no major required liaison that a beginner especially needs to worry about here.

For example:

• le pion: no liaison
• et le: normally no liaison after et
• le dé: no liaison

The main thing to know is that et almost never makes liaison in normal French, so you do not pronounce it like ay-tle.

Because de is the normal French pattern for linking one noun to another in this kind of fixed expression.

French commonly builds category names like this:

• une tasse de café = a coffee cup
• une brosse à dents = a toothbrush
• un jeu de société = a board game

Different prepositions have different uses, but here the established expression is simply jeu de société. It is something you should learn as a complete phrase.

Yes, you should memorize the gender with each noun:

• le jeu = masculine
• la société = feminine
• le pion = masculine
• le dé = masculine

In French, noun gender affects articles and sometimes adjectives, so it is best to learn each noun together with its article:

• le jeu
• la société
• le pion
• le dé

That will help you build correct sentences more naturally.