Your questions were,
Can i add my current job as a experience in resume?
Certainly you can - your resume is yours to write, you can put anything there that's truthful and helps represent your experience.
How will it effect my resume?
If you're really trying to ask, "how will it affect my chance of getting hired?" then there's some unfortunate news - employers who see that you have little history and are trying to jump after only one month will consider you a flight risk - what's stopping you from immediately leaving them after they've hired you? In many cases, someone with a very short history, and who's looking for a new job after only one month will just get discarded from the search, unless there's some obvious or special circumstance.
If you do manage to land an interview, you need to be ready to answer questions about your short tenure, while inspiring confidence - you need to help employers understand that you're interested in a relationship that will be beneficial for them, and that you're not a poor planner.
It's also important to consider this a learning opportunity. What about this employer do you not like? What can you do during your job search to ensure that you're not going to make the same mistake again? If you feel so strongly about your current job that you're willing to leave so quickly, make sure you're taking the opportunity to focus on employers who won't leave you feeling the same way again and again in the future.