Most people on this site have experience of relationships between British and Filipino.
With you and your boyfriend being Canadian and Filipino, even though he is working in the UK, many on here will not be able to offer advice as they are not experienced with your situation.
However if you are wanting to come to the UK to visit your boyfriend while he is working here you will have to apply for a visitor to the UK visa.
Search for the British Embassy in Manila and their website will have links to ''Visas'' and ''How to Apply''
Someone here with more experience of your situation will post soon if you are patient.