watasi no ie kara tosyokan made itizikan kakarimasu.

から marks the starting point. In this sentence, 私の家から means from my house.

With places, から often shows where a movement, distance, or route begins. It is commonly paired with まで, which marks the endpoint.

まで marks the endpoint or limit, so 図書館まで means to the library or as far as the library.

In route expressions, から ... まで works like from ... to ... in English.

Because まで is itself a particle. It attaches directly to the noun:

図書館まで = to the library

You do not need another particle after 図書館 here. In fact, 図書館まで is the normal form.

かかります is the polite form of かかる. Here it means to take in the sense of to require time.

So 一時間かかります means it takes one hour.

This verb is often used for:

• time: 三十分かかる = takes 30 minutes
• money: 一万円かかる = costs 10,000 yen

Time durations often appear with no particle before verbs like かかる.

So:

• 一時間かかります = takes one hour
• 三時間勉強しました = studied for three hours
• 十分待ちました = waited for ten minutes

This is very normal Japanese grammar. The duration expression directly modifies the verb.

Because the sentence is describing the amount of time required, not simply identifying something.

English says It is one hour only in very limited cases, but for travel time we normally say It takes one hour. Japanese works the same way here:

• 一時間です would sound incomplete or unnatural in this context
• 一時間かかります correctly means it takes one hour

Japanese often leaves out the subject when it is obvious from context.

English needs something like it:

• It takes one hour

Japanese does not need that dummy subject. The idea is simply understood:

• 私の家から図書館まで一時間かかります

You can think of it literally as:

• From my house to the library, one hour is required

Japanese usually puts background information first and the main verb at the end.

So the sentence is organized like this:

• 私の家から = from my house
• 図書館まで = to the library
• 一時間 = one hour
• かかります = takes

A very literal gloss would be:

• From my house to the library, one hour takes

That sounds strange in English, but it is normal Japanese structure.

Yes, often you could just say 家 if it is obvious whose home you mean.

• 家から図書館まで一時間かかります is also natural

Adding 私の makes it more explicit: my house. Textbooks often include it to make the meaning very clear.

In a neutral sentence like this, いえ is the most likely reading.

• 私の家 → usually わたしのいえ

うち can also mean home or my place, especially in conversation, but いえ is the safer reading for this kind of textbook sentence.

Yes. You could say:

私の家から図書館までは一時間かかります。

The は adds topical emphasis to the route from my house to the library. It can sound like:

• As for the trip from my house to the library, it takes one hour

Without は, the sentence is more neutral and straightforward.

Yes. A common more explicit version is:

私の家から図書館へ行くのに一時間かかります。

This literally says:

• It takes one hour to go to the library from my house

Your original sentence is shorter and very natural, especially when the route itself is already clear from context.