Many companies do not allow internal transfers until you have 6 months to a year with the company.
From the organizational perspective there are good reasons for this. They want to make sure you are someone they want to keep by having a long enough performance record that they feel you are a valuable asset to the company and that you don't have trouble getting along with people. Further, hiring managers who have the less desirable jobs need to have people stay in those jobs for at least a few months to get some value out of their hire. Does this mean they lose some good people who don't want to wait out the time period before transferrring? Yes and companies are OK with that because losing one good person who can't wait four more months until he is eligilble to move is less disruptive to an organization that having one person bounce around to several different opportunites in a short period until he finds one he likes. And if the second and third try don't work out either, that person might be a job hopper who is never happy anywhere and nobody wants those.
So before you even consider applying, make sure you are eligible to apply. You should have been told company policies or been given a link to published policies when you came on board. Go look them up.
If this is a large enough company that there will often be openings in other areas that look interesting, then wait out the time requirement if there is one. There are much worse things than being bored and changing jobs just might land you in a worse place. Unless you have some highly valuable and unique qualifications most managers won't poach someone else's staff when they have been on board such a short time. They know how much they hate to lose someone so quickly. So in general I would wait until you have at least 6 months in before looking at applying for at internal jobs.
Now this might not be true in two special conditions. First, if your existing job is going away then applying for other jobs internally and externally is indicated. Second, if the positions themselves are for a new project that is going to be something the company is going to regard as much more important thn the current project, then you might have a shot at it (if you are eligible to apply). This is particularly true if the project is expected to be a big money maker. In this case, it is less risky to take on the known qualtity (you) over the unknown quantity (the guy from outside) for the high priority project and let the lower priority project have to find a new person. However, you still will need to compete with others internally and those who have been there longer may have the edge.
If you like the company and would like to transfer to another job, it would make sense to get to know the managers of those other projects and to make sure you make a name for yourself dong the work you think is boring. You want to appear to be a hot prospect and someone reliable who is a team player. If your boss has some projects where you might work cross-functionally with people outside your team, volunteer for those. If you have an awards program, do what you can to win an award. Suggest a Lunch and Learn program be set up that developers in all the different departments can attend and then volunteer to give some of the sessions. Write some blog entries about things which the other teams might find useful and then find a way to give them the link to the blog. In other words, find ways to promote yoursef and get known outside your small part of the company. Then your chances of being picked for the internal trnasfer are much greater.
