1) On the Internet, we discuss the (превосходная степень прилагательного) latest events, talk a lot about life, about our problems.
2) But I hope to master (я бы сказала to improve - но Ваше право оставить как у Вас) it
because it will be (в будущем же!) useful to me in the future.
3) I enjoy learning, but I get tired after classes (после занятий!), and I feel (я бы сказала have a headache - устойчивое выражение) a headache.
4) And
the last thing I would like to tell you about things I hope to achieve
in my life, they (иначе предложение потерялось) are: to finish (Вы же дальше везде пишете инфинитив) the University, to have a very successful
career, to build the home of my dreams and to find someone in my life to
share all that with.
Хорошая работа!