This is the 2157th most frequent Russian word.
будешь
"Будешь" means "you will be" or "you will" (future tense of "to be" or auxiliary verb).
In this sentence, 'будешь' is used to ask about the future state of being at home, functioning as the second person singular future tense of the verb 'быть'.
Ты будешь дома вечером?
Will you be home in the evening?
Here, 'будешь' helps construct the future tense conditional, indicating a hypothetical scenario about studying.
Если ты будешь усердно учиться, ты добьёшься успеха.
If you study hard, you will achieve success.
'Будешь' in this context is used to ask about a future action of reading, forming the second person singular future tense with the verb 'читать'.