You can't extend an IEC permit. You can change to visitor status to remain in Canada longer.
When does your permit expire?
You could ask your employer to apply for an LMIA & get another work permit.
If you have/will have 1 year work experience in Canada, at skill level A B or O, you could apply for PR through Express Entry, Canadian Experience Class.
(http://www.cic.gc.ca/english/immigrate/skilled/noc.asp)
Have a look at the PNP requirements for the province you are in.
If you live with your Canadian partner in a common law relationship for 12 months, you could apply for PR via spousal sponsorship.
There's a couple of suggestions to get you started