Here in the House of Representatives, the bill will be voted on. If it receives a majority vote, it will be passed on to the senate.
Now that the bill is passed on to the senate, senators will vote on it, and if it gets a majority vote then it will be passed on to the president to be signed.
While in the senate, since there is unlimited debate time, senators are allowed to filibuster, or delay the voting of a bill until the senate goes out of session. This is done by talking or giving a "speech" that doesn't need to be related to the actual bill.
Fortunately, a filibuster can be stopped by a cloture motion, where a majority vote is needed to bring the bill directly to vote. Alternatively, a bill can be tabled, or set aside to be debated and voted on at a later date.
Here in the White house, the president has the ability to either sign the bill, veto it officially, or use a pocket veto where he doesn't sign or return it until congress is out of session. If the president does sign the bill, then it will officially become a law.