Would this apply too me too?

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Me and my dad look alike facially. My dad looks like his mother as well..... since me and my dad resemble each other would that mean I also look like his mum too? Or is not that straightforward?

Well, if your dad looks like his mom, and you look like your dad, it stands to reason that their would be a resemblance between herself and you, since she looks like someone you look like.

People say I don't look like her though

It usually isn't considered polite to say that a person looks like another of an opposite gender. Also, you likely have some of your mom's traits, so that, while you can still look like your dad, you might have enough of your mom's traits to look very different from your grandmother. Also, you are farther apart from your grandma's age than you are with your dad, wrinkles influence physical appearance a lot, and would make her look less like any youthful person such as yourself.

I have my mums dark eyes, forhead and mouth

My dad on the other hand has my grandmothers blue eyes

If you want to look at it on a genetic scale, then you would roughly share 25% of your genes with your grandmother. You dad shares 50% with her. You share 50% with your dad. Discounting dominance and recessiveness in traits, you would look fairly similar to your dad, and he would look fairly similar to his mother, but you would share only a few distinct traits with her. Add in the fact that she is of the opposite gender and you can easily have such a situation. As it happens, I do not look like anyone in my family...

My grandma died in 1997 of breast cancer

I am sorry to hear that. Only one of my grandparents is still alive, and just had a run in with breast cancer. The other grandma died in the summer of 2007 of the disease.

a. You look like your father.

b. Your father looks like his mother.

: : You look like your father's mother.

If B resembles C, and A resembles B, then A resembles C.

that sort of logic has its flaws. For example:
a. All Communists are Marxists
b. All Marxists are golfers
: : All golfers are Communists

clearly untrue.

Actually, your syllogism is flawed. It should read:

c. All Communists are Marxists

b. All Marxists are golfers

: : All Communists are golfers

The syllogism must proceed directly from the major premise through the minor premise to the conclusion.

Then my math book made a boo boo

Home schooled, perhaps?

No, and I do not like the suggestiveness of that statement as me being stupid. I am in the top 10 in my class, and I got a 33 on the ACT first try. Maybe I like to be silly sometimes, but that does NOT make me stupid