Reading through this post I think you are inquiring about finances required to Enter Canada in case your boyfriend gets to Canada. Then no, financial requirements are required for you to visit Canada as an US Citizen visiting Canada.
You you are inquiring about you applying for Canadian PR to migrate, then yes you require funds as indicated by others. US Citizens also require same proof of funds as others.
Now here are my two cents but before I start I want to inform that this is not a legal advice but just a suggestion from a fellow PR applicant. First thing is to apply for Police Clearance Certificate (PCC). Your bf needs to send his fingerprint along with payment to FBI. (
https://www.fbi.gov/services/cjis/identity-history-summary-checks). Note this does not have any negative implications against him. FBI only provides details on existing records if any in their system against him. (This will be one of the documents he will require to get if he is applying for PR anyway). If the FBI report has his felony/arrest/fight and deportation details then follow the rehabilitation way suggest by other. If the report is clear, and it can be since deportation is an immigration offence and may not show up in FBI PCC. (Note you still have to disclose the deportation and other charges in appropriate places in the application. Not disclosing relevant info will bar him from Canada for 5 years). If the FBI report is clean he could apply for PR assuming he meets all other criteria (education evaluation, language requirement, work experience for 1 year or more in a NOC 0, A, B skill type and meets the CRS score to receive an ITA).
**Also suggest you to consult an immigration lawyer for your case.