"Not really, your employer is required to pay the unemployment insurance premium on your behalf, which means it is priced into your salary/compensation. If it were optional and he chose to pay it, then it would be a benefit, but since it's mandatory, you are really the one paying it. Same with 'employer matching' social security contributions. IMHO such arrangements should be against the law"
I guess its a matter of opinion on this one, but my take on it is that since it is paid from money beyond what you make as a salary (or hourly), then it is your employer paying it. (i.e.- none of your listed salary is deducted for this insurance.)
PS- I found if you blatantly look for other jobs, you stand a good chance of being fired.