and by living with my girlfriend for 1 year does it matter if we are married or engaged or just bf&gf.
and as tourist i can only stay 6 months at a time unless i stay the entire year with working holiday.
and i know that as a tourist 1 day in Canada counts as a half day and when you work in Canada it counts as a normal full day.
If you are living with your gf for one year or more, in Canada, she is considered your common law partner and on any application form, you must list that she is your common law partner. If one of you can manage to apply for PR, you can include the other in the same application. If you manage to get an LMO and a work permit for a skilled job, skill level A, B or 0, your girlfriend can apply for an open work permit based on your permit or likewise if it is easier for her to get a job and work permit, you can get an open permit based on hers.
As a tourist 1 day in Canada etc. has nothing to do with work permit or PR, it is about citizenship and the way you quoted it is wrong. The truth is that any day in Canada before you got your PR counts as a half day towards the citizenship requirements whether you were a tourist or working on a work permit or studying on a study visa. For you, this is far ahead in the future. You must be a PR for at least 2 years before you can possibly qualify to apply for citizenship.