Honestly, I've never really understood the appeal of getting an LPN degree and immediately bridging to an RN. Why? First, it's not always possible to do it in two years. Yes, you can do the LPN program in one year, but then you have to apply for a license, pay the fee, schedule your NCLEX, pay the fee, pass the NCLEX, and get your license. Then you can apply for LPN bridge programs. You can't apply for the bridge until you have your LPN. So if you get your LPN in June, it might be August before you get your license and can even apply to programs, so you're not likely to be able to start the bridge program in August, like you think you can.
Furthermore, bridge programs are usually pretty busy. Do you plan on working as an LPN during that time? Then you better find a place that's willing to hire you knowing you'll only be there for a short time, and willing to work around your school schedule. Much easier said than done, and you might find yourself finishing the bridge program having never worked as an LPN. What's the point?
You also have to consider your area. Some states do not hire LPN's for hospital positions and the primary job openings for LPN's are in nursing homes and outpatient areas. Also, the nursing supervisor is probably right, especially if she works for a hospital. Most big hospitals want RN's with a BSN degree. So you may very well be less likely to get hired if you do not have an BSN (or even an ADN). On the other hand, if hospitals near you hire LPN's, then you might want to get your LPN, work for a few years to gain experience and then bridge. I don't suggest doing it back to back, for the reasons above.
If you really want your RN in two years, then the best thing to do is go to a community college for two years and get your ADN. It won't make you as hirable as a BSN, but it's better than a bridge program, in my opinion. Then you can do an RN to BSN program after you have worked and saved some money.