To get more connects, you can upgrade your membership from the basic plan to the plus plan, and can read more about the differences between the two memberships here.
Since you're new to Upwork, it would be beneficial to check out the resources for new users in this thread which has helpful tips and you can also check out this thread for tips on avoiding suspicious jobs and scams.
You will also get a new batch of connects every month (if you look in your profile settings and the part titled 'membership and connects', you will see your billing cycle that shows the start and end date of your current upwork month.. Your 60 monthly connects will be added after the end date)
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