Sure! I think I'm becoming sucked into the "more is better" mentality, and I've been unhappy with the speed of my 2011 macbook and just want something so much faster. I don't currently have a SSD, so that alone should make a difference right?
I'm a science student, so: I do a lot of web browsing, microsoft office, listen to music, watch movies, and that's about it. I just like to multi-task and have multiple applications open which I find a struggle right now on my current 13" MBP.
Would the new base model be enough for me?
None of those tasks would even remotely benefit from a more powerful processor.
The bottle neck on your current computer is more than likely the hard drive or the RAM.
I don't know how familiar you are with computers but I can make an analogy of sorts.
Think of RAM as a desk in front of a very fast clerk (the processor). The bigger the desk (the more RAM) the more work you can put in front of the clerk for him to access quickly and process.
If you even run out of desk space (not enough RAM), the clerk puts work in the desk's drawer, which is a much slower operation as he has to open the drawer, put work in there, close it back up, and do the opposite when it comes time to work on it.
If you are lacking RAM, you will see a very steep decrease in overall response from your computer as it is much slower to write and read to a hard drive than to RAM (ram is over 100 times faster).
Since your computer is upgradable, we can help you determine if that is your case.
Next up, there's the upgrade to the SSD. To put things into RAM, the computer has to read it from your hard drive, the faster the hard drive, the faster stuff is put into RAM. That operation happens whenever you boot, open a file, application or launch calculations (be it photo editing, video editing, rendering or whatnot). So a SSD makes the computer feel much "snappier" as things will open faster.
Hope that helps you out, I have a feeling you want to upgrade for upgrading's sake, as your computer is more than capable of dealing with the tasks you described.