After the end of each game, in the summary window, you will have the opportunity to see your progress toward the Daily or Weekly Mission.
Additionally, if you have completed the current Daily or Weekly Mission, you will see a 'Claim' button at the end of the game, allowing you to complete your mission and claim your reward.
IMPORTANT! Keep in mind that if you do not claim your bonus immediately after the game in which you completed the Daily or Weekly Mission, you will not receive a notification about the completed mission in the next game. You will need to open the Daily or Weekly Missions calendar, press the 'Claim' button, and then you will receive your reward.