Like I said, I don't mean to be so negative. I had heard getting into vet school was the hard part. My experience is that it's all the hard part.
Just quoting this to reiterate it because it is so true. Many pre-vets tend to have the expectation that getting into vet school is the hardest part of the entire process; it may be for a few students, but vet school itself is really tough academically and it can absolutely have a very real effect on your mental health. Doing well in vet school---and even simply staying in, for some people---is quite a bit more difficult than getting admitted was. And then I can only imagine that actually practicing is even harder than that as you are responsible for your patients' lives and well-being, as well as meeting the sometimes unreasonable expectations of clients and employers.
With a 2.6 GPA after four years of undergrad, it is going to take quite a lot to repair your academics, unfortunately. Retaking as many pre-reqs as possible for As might help, as will taking additional upper division science courses. A masters or post-bacc program may also help out the GPA somewhat but at a 2.6 with four years worth of credits amassed I'm afraid it is likely to be quite the endeavor to make a massive improvement. You could take some classes for As and aim for as close to 4.0 as possible for your last 45 hours GPA, as some schools weigh it heavily, if that is an option. Some schools do have a defined GPA cutoff to even be considered (usually 3.0) so that may mean you're out the running right off the bat at such schools. You might need to be selective about where you choose to apply. So, yes, there are ways to fix the GPA, but they are likely to be time-consuming and expensive---only you can decide if those avenues worth it.
I second the recommendation to post in the What Are My Chances thread. It's difficult to get the full picture of what your application may look like without all of the details.
As for the competitive environment... it unfortunately doesn't go away in vet school, as much as you think that it would. At least not at first. I mentioned in another thread the other day that I had a friend of mine confess to me that she was basically told that she couldn't study with a certain group of classmates because she wasn't "in the top 5% of the class". There's been multiple accounts of cheating already and we've barely cleared a semester at this point---one of those incidents was literally for a quiz worth a whopping 2 points. There's definite snootiness going on in the some of the cliques within our class. Extreme examples? Yeah, probably. But it does happen. It does not stop in undergrad. If anything, I haven't heard and seen such petty drama and competition between classmates since high school. It will vary by class somewhat (the c/o 2019 and 2018 here are both really chill in comparison... though they might have started out like us and then just became apathetic about the whole thing since vet school really does blow a lot of the time), but it is still there. I'm experiencing the worst anxiety I have had since my junior year of high school, where I was constantly in and out of major depressive episodes. Everyone experiences vet school differently and there are absolutely some students who thrive in that environment, but I would be willing to wager a guess that the majority of us do struggle at times. It's not an easy environment to be in every day 8-5, if you catch my drift.
I'm not trying to discourage you from trying if it is what you really want, but just keep it in mind. Also keep in mind the extreme debt:salary ratio that newly graduated vets are dealing with; take advantage of your current internship. Ask the vet(s) good questions about the time and financial investments involved with the education and training, see what the day to day is like, and then decide whether or not it is still something you want to pursue or if there are other career paths that interest you more or have better return on investment (absolutely no shame in changing paths, either, by the way).
If nothing else, I sincerely urge you to get your anxiety issues under control before trying for vet school. Seriously.