Ramba uchiverenga ndima iyi - Bourque akaberekerwa muBoston asi akakurira muTopsfield, Massachusetts, uye akapedza kudzidza paCushing Academy muna 2004. Ari ikoko, akanga ari shamwari dzepedyo naKeith Yandle. Akasarudzwa 33rd yose mu2004 NHL Entry Draft
neWashington Capitals, uye akatambira Portland Pirates neHershey Bears yeAmerican Hockey League (AHL) asati adaidzwa kuNHL munaNovember 2007. Akatamba mitambo mina yeNHL yose asati aendeswa kuHershey munaFebruary 2008.