Chances are higher but there are significant differences based on who gave the referral and how:
1. More junior people have less weight, obviously
2. Someone who's known you for some time, or even worked with you, will have significantly more pull
3. Me saying "hey, just got this resume, passing it along" vs. "this person is amazing, definitely should consider" are both 'recommendations' but the tone and intent are markedly different
A recommendation only helps to get the interview - significant, but nowhere near enough to get the job. Ultimately, you will still do your interviews. I hope HR contacts you soon for a 1st round interview, but don't forget to start preparing right away if you haven't already. Good luck!