Sy gaan kombuis toe sonder om in die yskas te kyk.

In this sentence, toe means to/towards a place.

Afrikaans often uses toe after a destination noun, so it works like a postposition rather than an English-style preposition. That is why you get:

kombuis toe = to the kitchen

This pattern is very common with places:

• huis toe = home
• skool toe = to school
• bed toe = to bed
• kombuis toe = to the kitchen

So Sy gaan kombuis toe literally looks like She goes kitchen to, but naturally means She goes to the kitchen.

Because with the place + toe pattern, Afrikaans often leaves out the article.

So:

• Sy gaan kombuis toe = natural
• Sy gaan huis toe = natural
• Sy gaan skool toe = natural

This is just how the construction normally works. It is not that kombuis suddenly stops being a noun; rather, kombuis toe functions as a set destination phrase.

If you use na instead of toe, then the article is usually included:

• Sy gaan na die kombuis

Yes. Sy gaan na die kombuis is also correct and natural.

The difference is mostly one of phrasing:

• kombuis toe is a very common, compact way to express movement to a place
• na die kombuis is more like a regular prepositional phrase

Both can mean to the kitchen. In everyday Afrikaans, X toe is especially common with familiar destinations.

This is a standard Afrikaans pattern for without doing something:

sonder + om + ... + te + infinitive

So here:

• sonder = without
• om ... te kyk = to look / looking

Together:

sonder om in die yskas te kyk = without looking in the fridge

A few similar examples:

• sonder om te praat = without speaking
• sonder om te lag = without laughing
• sonder om die deur oop te maak = without opening the door

Because Afrikaans often marks an infinitive clause with om ... te.

In this sentence:

• om introduces the infinitive clause
• te goes with the infinitive verb

So the structure is:

sonder om in die yskas te kyk

English does not need both parts, because English simply says without looking. Afrikaans uses the fuller infinitive pattern.

Because in an om ... te infinitive clause, the main verb normally comes at the end.

So Afrikaans says:

sonder om in die yskas te kyk

not usually:

sonder om te kyk in die yskas

The phrase in die yskas comes before the final verb kyk. This end-position for the verb is very normal in Afrikaans subordinate and infinitive structures.

Because the meaning is look inside the fridge, not look at the fridge.

In Afrikaans:

• kyk in = look in / look inside
• kyk na = look at

So:

• in die yskas kyk = look in the fridge
• na die yskas kyk = look at the fridge

Here the idea is that she does not check inside the fridge, so in is the correct choice.

Yskas is the normal Afrikaans word for fridge or refrigerator.

It is historically made from:

• ys = ice
• kas = cupboard / cabinet

So literally it is something like ice cupboard, but in normal use it simply means fridge.

Here gaan is the ordinary verb to go.

Depending on context, English could translate it as:

• goes
• is going
• sometimes just went to in a narrative retelling

In this sentence, gaan is about physical movement to the kitchen. It is not the future construction is going to + another verb.

So Sy gaan kombuis toe most naturally means something like She goes to the kitchen or She is going to the kitchen.

It is capitalized only because it is the first word of the sentence.

The word itself is sy, meaning she. Mid-sentence it would normally be lowercase:

• Ek sien sy gaan kombuis toe.

So the capital S here is just normal sentence-initial capitalization, not a special grammar point.