Je cherche un T-shirt violet et un foulard léger.

Because chercher is a regular verb meaning to look for or to search for, and in the present tense, je cherche simply means I am looking for or I look for.

French usually does not use a separate verb like am + -ing the way English does. So:

• je cherche = I look for / I am looking for

You do not say je suis cherche here.

Un is the masculine singular indefinite article, meaning a or an.

In this sentence:

• un T-shirt
• un foulard

both nouns are masculine singular, so they each take un.

French normally repeats the article before each noun in a list when each noun is separate:

• un T-shirt et un foulard

That sounds natural and standard.

You usually have to learn the gender along with the noun.

Here:

• un T-shirt → masculine
• un foulard → masculine

There is not always a perfect rule for guessing gender, so it is best to memorize nouns with their article:

• un T-shirt
• un foulard

That way, you learn the word and its gender together.

In French, most adjectives come after the noun, unlike in English.

So:

• un T-shirt violet = a purple T-shirt
• un foulard léger = a light/lightweight scarf

That is the normal adjective position here.

Some common adjectives do come before the noun, but violet and léger usually come after it.

Yes. In French, adjectives usually agree in gender and number with the noun they describe.

Here:

• T-shirt is masculine singular → violet
• foulard is masculine singular → léger

So the masculine singular forms are used.

If the nouns were feminine, the adjectives would usually change:

• une chemise violette
• une écharpe légère

Notice the added -e in many feminine forms.

That is just part of the spelling of the adjective léger.

• léger = masculine singular
• légère = feminine singular

The accent on é affects pronunciation and is part of the correct written form.

Violet is simply spelled without an accent in the masculine singular form:

• violet
• violette (feminine)

So the difference comes from the individual words themselves, not from a general rule that all adjectives need accents.

A simple approximate pronunciation is:

zhuh sher-sh uhn tee-shirt vee-oh-leh ay uhn foo-lar lay-zhay

A few helpful points:

• Je sounds like zhuh
• cherche has the sh sound in the middle
• un has a nasal vowel that English does not really have
• et is pronounced like ay
• the final r in léger is pronounced

A more French-like IPA pronunciation would be approximately:

/ʒə ʃɛʁʃ œ̃ ti ʃœʁt vjɔlɛ e œ̃ fulaʁ leʒe/

Et means and, and it links the two things being looked for:

• un T-shirt violet
• un foulard léger

So:

• un T-shirt violet et un foulard léger = a purple T-shirt and a light scarf

You could not replace et with a comma in normal French here if you want the meaning and.

It is a borrowed word from English, but it is fully used in French.

You will commonly see:

• un T-shirt
• sometimes un tee-shirt

Both are used, though T-shirt is very common.

Even though it comes from English, it still follows French grammar, so you say:

• un T-shirt violet
• des T-shirts violets

Here, léger means lightweight, not heavy, or possibly thin/delicate depending on context.

It does not normally mean light-colored here.

So un foulard léger suggests a scarf made of light material or a scarf that feels light to wear.

If you wanted to talk about a light color, French would usually express that differently.

Yes, but the meaning changes slightly.

• Je cherche... = I’m looking for...
• Je veux... = I want...

So:

• Je cherche un T-shirt violet et un foulard léger means you are searching for those items.
• Je veux un T-shirt violet et un foulard léger means you want those items.

Both are correct, but cherche focuses on the act of looking.

Because the sentence refers to one T-shirt and one scarf.

That is why it uses:

• un T-shirt
• un foulard

If you wanted more than one, you would use the plural:

• des T-shirts violets
• des foulards légers

Notice that both the nouns and the adjectives would usually become plural.