אני אוהב את הצורה שבה היא מסבירה.

Because אוהב agrees with the speaker, not with היא.

• אני אוהב = I love / I like (said by a male speaker)
• אני אוהבת = I love / I like (said by a female speaker)

So:

• A man would say: אני אוהב את הצורה שבה היא מסבירה.
• A woman would say: אני אוהבת את הצורה שבה היא מסבירה.

The rest of the sentence stays the same.

Here את is the direct object marker. It does not have a separate meaning like with in this sentence.

Hebrew uses את before a definite direct object, usually something with ה־ (the) or a possessive.

In this sentence, the object is:

• הצורה = the form / the way

Since it is definite, Hebrew uses את:

• אני אוהב את הצורה...

Compare:

• אני אוהב צורה כזאת = I like a form/way like that
  no את, because it is not definite
• אני אוהב את הצורה הזאת = I like this form/way
  את is needed, because it is definite

Literally, צורה often means shape or form, but in this sentence it means something more like:

• the way
• the manner
• the style

So את הצורה שבה היא מסבירה means the way she explains or the manner in which she explains.

This is a normal extended meaning of צורה in Hebrew. Another very common word in similar sentences is דרך:

• אני אוהב את הדרך שבה היא מסבירה.

That is often even more natural in everyday Hebrew.

שבה is made of two parts:

• ש־ = that / which / in which
• בה = in it / in her

Together, שבה means something like:

• in which
• that ... in it
• more naturally in English here: the way that / the way in which

So:

• הצורה שבה היא מסבירה

literally is something like:

• the form in which she explains

More natural English:

• the way she explains

The בה refers back to הצורה, which is a feminine noun, so feminine בה is used.

Because the sentence needs the idea of in which / by which / in that way, not just plain that.

If you say:

• הצורה שהיא מסבירה

that sounds incomplete or unnatural, because it would be more like the form that she explains — as if the form were the thing being explained.

But that is not the meaning here. The meaning is:

• the form/way in which she explains

So Hebrew uses שבה to connect הצורה with the manner of explaining.

This kind of structure is common:

• הדרך שבה הוא מדבר = the way he speaks
• השיטה שבה הם עובדים = the method by which they work

In the present tense, Hebrew verbs do not show person clearly the way English does.

מסבירה tells you:

• present tense
• feminine singular

But it does not by itself tell you whether the subject is:

• she
• you (to one female)
• sometimes something feminine singular

So Hebrew usually includes the subject pronoun when needed for clarity:

• היא מסבירה = she explains / she is explaining

Without היא, the sentence could be unclear or sound incomplete in many contexts.

Yes, it is the present tense form, feminine singular, from the verb להסביר (to explain).

Forms of this verb in the present tense are:

• מסביר = masculine singular
• מסבירה = feminine singular
• מסבירים = masculine plural / mixed plural
• מסבירות = feminine plural

So:

• היא מסבירה = she explains / she is explaining

As often happens in Hebrew, the same present-tense form can match both:

• she explains
• she is explaining

The exact meaning depends on context.

The basic structure is:

• אני אוהב = I love / like
• את הצורה = the way / the form as the object
• שבה היא מסבירה = in which she explains

So the sentence is built like this:

I like + the way + in which she explains

Hebrew often places the main noun first and then adds a relative clause after it:

• הצורה
  • שבה היא מסבירה

This is very similar to English:

• the way that she explains
• the way in which she explains

Yes, definitely.

A very common alternative is:

• אני אוהב את הדרך שבה היא מסבירה.

This often sounds more natural to learners because דרך is very commonly used for way / manner.

Roughly:

• צורה = form, manner, style
• דרך = way, method

In this sentence, both can work, but דרך is probably more common in everyday speech.

You can, but it sounds unnatural in normal English.

A more natural English translation would be:

• I like the way she explains.
• I love the way she explains.
• I like the manner in which she explains. (more formal)

So the Hebrew structure is a little more formal/literal than the most natural English translation.

Yes. A more conversational version might be:

• אני אוהב איך שהיא מסבירה.
• or for a female speaker: אני אוהבת איך שהיא מסבירה.

This means:

• I like how she explains.

This is very common in spoken Hebrew.

Still, your original sentence:

• אני אוהב את הצורה שבה היא מסבירה.

is perfectly good Hebrew and sounds a bit more careful or formal.

It can mean either, depending on context.

In Hebrew, לאהוב is used in many places where English might say either:

• love
• like
• really like

So in this sentence:

• אני אוהב את הצורה שבה היא מסבירה

it could mean:

• I love the way she explains
• I like the way she explains

If the context is casual, English often chooses like even though the Hebrew uses אוהב.