Learn Danish: Jeg læser bogen.

In Danish, you usually form the present tense by adding an -r to the basic form of the verb (the infinitive). The infinitive for 'to read' is læse, so adding -r makes it læser.

Can Jeg læser bogen also mean 'I am reading the book'?

Yes! Danish does not have a separate 'am reading' or 'is reading' form. Jeg læser translates to both 'I read' and 'I am reading' depending on the context.

Is the word order in this sentence exactly the same as in English?

Yes, it uses the standard Subject-Verb-Object word order. Jeg (Subject) comes first, followed by the verb læser, and then the object bogen.

Where is the word for 'the' in bogen?

In Danish, the word for 'the' is usually attached to the end of the noun instead of being a separate word before it. The word for 'book' is bog. Because it is an 'en' word, you add -en to the end to say 'the book', making it bogen.