This year, I started my first year of University, and so now I am a student.

I would love to know how to cook, because I could save some money by buying ingredients and cooking myself instead of going out to eat.

Or 'cooking for myself'

I would also use this new skill to make something for my girlfriend some day, as I promised her.

Instead of 'make' using 'cook' might be better as we are talking about food

Beside that, sometimes I am just craving for a specific dish and wish I could cook it myself.

I would love to know how to cook

Or "I Would Love to Know How to Cook". We usually capitalize titles.

This year I started my first year of University, and so now I am a student.

I would love to know how to cook, because I could save some money by buying ingredients and cooking myself instead of going out to eat.

I would also use this new skill to make something for my girlfriend some day, as I've promised her.

Besides that, sometimes I am just craving fore a specific dish and wish I could cook it myself.

So far, I've cooked only 3 or 4 times and I enjoyed it a lot.

LI'm looking forward to my next cooking attempt.

I would love to know how to cook, because I could save some money by buying ingredients and cooking myself instead of going out to eat.

"By buying" can be difficult to say, but is not grammatically wrong. I would say, "to save money by cooking at home instead of going out to eat"

Beside thats, sometimes I am just craving for a specific dish and wish I could cook it myself.

So far I've only cooked only 3 or 4 times and I enjoyed it a lot.

I would love to know how to cook, because so that I could save some money by buying ingredients and cooking myself instead of going out to eat.

Besides that, sometimes I am just craving for a specific dish and wish I could cook it myself.