Thousands of people immigrate to Canada every year - but you need to qualify.
I don't think it will be possible for you to immigrate based on education alone. In other words, just finishing your bachelor's degree will not be enough to qualify you to immigrate to Canada. Here are some options you could pursue.
1) You could apply for a study permit to do your Masters (or even Bachelors) in Canada. Once you finish your degree, you could apply for a Post Graduate Work Permit which will allow you to work in Canada for a period of time. If you manage to complete your degree and work in a skilled role for a year - you'll qualify to apply for Canadian permanent residency through the Canadian Experience Class program. The negatives of this route are that attending school in Canada as a foreigner is extremely expensive and on top of the high tuition fees, you must also have $10K per year living expenses. If you're interested in pursuing this route, information on study visas is here:
http://www.cic.gc.ca/english/study/index.asp2) You could apply as a skilled worker through the Federal Skilled Worker program. However you'll need to finish school and get a few years of experience in Russia to qualify. This program also has other requirements which are outlined here:
http://www.cic.gc.ca/english/immigrate/skilled/index.asp3) You could consider applying through one of the provincial programs. However once again, you'll need to finish school and get a few years of experience under your belt.
http://www.cic.gc.ca/english/immigrate/provincial/index.asp