gineungsiheom dwie dorojuhaengsiheomeul bopnida.

In this sentence, 기능시험 refers to the skills test part of a driving test.

• 기능 = function / skill / practical operation
• 시험 = test / exam

In the context of getting a driver’s license, 기능시험 usually means the controlled practical test where you show basic driving skills before moving on to actual road driving.

도로주행시험 means the road driving test.

It is made up of:

• 도로 = road
• 주행 = driving / running a vehicle
• 시험 = test

So this is the test where you actually drive on the road, as opposed to doing basic driving maneuvers in a test area.

Here, 뒤에 means after.

Although 뒤 literally means back or behind, it is also used for time:

• 기능시험 뒤에 = after the skills test

So the sentence is describing sequence: first the skills test, then the road driving test.

Because 기능시험 is not the object of the verb 봅니다 here.

In this sentence:

• 기능시험 뒤에 = after the skills test
• 도로주행시험을 봅니다 = (someone) takes the road test

So:

• 기능시험 is part of the time expression with 뒤에
• 도로주행시험 is the object of 보다, so it takes 을

That is why only 도로주행시험 gets 을.

Yes, 보다 often means to see or to watch, but in Korean it is also commonly used with 시험 to mean to take an exam/test.

So:

• 시험을 보다 = to take a test

This is a very common expression and should be learned as a set phrase.

For example:

• 시험을 봐요 = I take a test
• 내일 시험을 봅니다 = I take a test tomorrow

So in your sentence, 도로주행시험을 봅니다 means take the road driving test, not see the road driving test.

Korean often uses the present tense for:

• scheduled events
• instructions
• general procedures
• future actions that are understood from context

So 도로주행시험을 봅니다 can mean something like:

• you take the road test
• you will take the road test
• the road test comes next

In procedural or instructional contexts, Korean often sounds natural with the present tense where English might prefer will or a more explicit future expression.

봅니다 is in the formal polite style.

This style is commonly used in:

• announcements
• instructions
• official explanations
• written materials
• polite speech in formal situations

The basic verb is 보다, and 봅니다 is its formal polite present form.

A less formal polite version would be:

• 기능시험 뒤에 도로주행시험을 봐요.

Both are polite, but 봅니다 sounds more formal and official.

Yes, absolutely.

• 뒤에 = after
• 후에 = after

Both can work here.

The difference is mostly in tone:

• 뒤에 sounds more everyday and conversational
• 후에 sounds a bit more formal or written

So both are correct, but 뒤에 is very natural in normal speech.

They are compound nouns, and in Korean many compound nouns are commonly written without spaces.

So:

• 기능시험
• 도로주행시험

are treated as single lexical units.

Korean spacing can sometimes vary in real life, especially with long technical nouns, but writing these as one word is normal and common.

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

So this sentence could imply things like:

• you take the road test after the skills test
• one takes the road test after the skills test
• applicants take the road test after the skills test

Korean does this very naturally. English usually wants an explicit subject, but Korean often does not need one if the meaning is already clear.